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Finding the Fourth Proportional to 24,762.38, 37,139.92 and 8,124.17

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Solution

The fourth proportional to 24,762.38, 37,139.92 and 8,124.17 is: 12,185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.38 : 37,139.92 = 8,124.17 : x
  2. Step 2: Convert to fraction form
    24,762.38/37,139.92 = 8,124.17/x
  3. Step 3: Cross multiply
    24,762.38x = 37,139.92 × 8,124.17
  4. Step 4: Simplify right side
    24,762.38x = 301,731,023.87
  5. Step 5: Solve for x
    x = 301,731,023.87/24,762.38
  6. Step 6: Final answer
    x = 12,185.06

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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.