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Finding the Fourth Proportional to 22,124.81, 30,532.11 and 12,053.22

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Solution

The fourth proportional to 22,124.81, 30,532.11 and 12,053.22 is: 16,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,124.81 : 30,532.11 = 12,053.22 : x
  2. Step 2: Convert to fraction form
    22,124.81/30,532.11 = 12,053.22/x
  3. Step 3: Cross multiply
    22,124.81x = 30,532.11 × 12,053.22
  4. Step 4: Simplify right side
    22,124.81x = 368,010,318.74
  5. Step 5: Solve for x
    x = 368,010,318.74/22,124.81
  6. Step 6: Final answer
    x = 16,633.38

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Double scale
Find fourth proportional to 22,125.81, 30,533.49 and 12,054.22
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.