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Finding the Fourth Proportional to 22,104.81, 30,506.22 and 12,415.05

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Solution

The fourth proportional to 22,104.81, 30,506.22 and 12,415.05 is: 17,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,104.81 : 30,506.22 = 12,415.05 : x
  2. Step 2: Convert to fraction form
    22,104.81/30,506.22 = 12,415.05/x
  3. Step 3: Cross multiply
    22,104.81x = 30,506.22 × 12,415.05
  4. Step 4: Simplify right side
    22,104.81x = 378,736,246.61
  5. Step 5: Solve for x
    x = 378,736,246.61/22,104.81
  6. Step 6: Final answer
    x = 17,133.66

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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.