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Finding the Fourth Proportional to 15,022.43, 20,729.13 and 8,307.14

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Solution

The fourth proportional to 15,022.43, 20,729.13 and 8,307.14 is: 11,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,022.43 : 20,729.13 = 8,307.14 : x
  2. Step 2: Convert to fraction form
    15,022.43/20,729.13 = 8,307.14/x
  3. Step 3: Cross multiply
    15,022.43x = 20,729.13 × 8,307.14
  4. Step 4: Simplify right side
    15,022.43x = 172,199,813.52
  5. Step 5: Solve for x
    x = 172,199,813.52/15,022.43
  6. Step 6: Final answer
    x = 11,462.85

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