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Finding the Fourth Proportional to 24,713.72, 37,085.14 and 9,142.20

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Solution

The fourth proportional to 24,713.72, 37,085.14 and 9,142.20 is: 13,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.72 : 37,085.14 = 9,142.20 : x
  2. Step 2: Convert to fraction form
    24,713.72/37,085.14 = 9,142.20/x
  3. Step 3: Cross multiply
    24,713.72x = 37,085.14 × 9,142.20
  4. Step 4: Simplify right side
    24,713.72x = 339,039,766.91
  5. Step 5: Solve for x
    x = 339,039,766.91/24,713.72
  6. Step 6: Final answer
    x = 13,718.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.