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Finding the Fourth Proportional to 22,182, 30,611.14 and 14,224.20

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Solution

The fourth proportional to 22,182, 30,611.14 and 14,224.20 is: 19,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182 : 30,611.14 = 14,224.20 : x
  2. Step 2: Convert to fraction form
    22,182/30,611.14 = 14,224.20/x
  3. Step 3: Cross multiply
    22,182x = 30,611.14 × 14,224.20
  4. Step 4: Simplify right side
    22,182x = 435,418,977.59
  5. Step 5: Solve for x
    x = 435,418,977.59/22,182
  6. Step 6: Final answer
    x = 19,629.38

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Double scale
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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.