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Finding the Fourth Proportional to 16,240.24, 24,311 and 10,400.92

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Solution

The fourth proportional to 16,240.24, 24,311 and 10,400.92 is: 15,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,240.24 : 24,311 = 10,400.92 : x
  2. Step 2: Convert to fraction form
    16,240.24/24,311 = 10,400.92/x
  3. Step 3: Cross multiply
    16,240.24x = 24,311 × 10,400.92
  4. Step 4: Simplify right side
    16,240.24x = 252,856,766.12
  5. Step 5: Solve for x
    x = 252,856,766.12/16,240.24
  6. Step 6: Final answer
    x = 15,569.77

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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.