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Finding the Fourth Proportional to 15,142.59, 20,884.91 and 9,839.13

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Solution

The fourth proportional to 15,142.59, 20,884.91 and 9,839.13 is: 13,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.59 : 20,884.91 = 9,839.13 : x
  2. Step 2: Convert to fraction form
    15,142.59/20,884.91 = 9,839.13/x
  3. Step 3: Cross multiply
    15,142.59x = 20,884.91 × 9,839.13
  4. Step 4: Simplify right side
    15,142.59x = 205,489,344.53
  5. Step 5: Solve for x
    x = 205,489,344.53/15,142.59
  6. Step 6: Final answer
    x = 13,570.29

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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.