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Finding the Fourth Proportional to 24,687.90, 37,031.02 and 9,892.85

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Solution

The fourth proportional to 24,687.90, 37,031.02 and 9,892.85 is: 14,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,687.90 : 37,031.02 = 9,892.85 : x
  2. Step 2: Convert to fraction form
    24,687.90/37,031.02 = 9,892.85/x
  3. Step 3: Cross multiply
    24,687.90x = 37,031.02 × 9,892.85
  4. Step 4: Simplify right side
    24,687.90x = 366,342,091.59
  5. Step 5: Solve for x
    x = 366,342,091.59/24,687.90
  6. Step 6: Final answer
    x = 14,838.93

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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.