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Finding the Fourth Proportional to 16,002.03, 24,007.92 and 9,414.30

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Solution

The fourth proportional to 16,002.03, 24,007.92 and 9,414.30 is: 14,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.03 : 24,007.92 = 9,414.30 : x
  2. Step 2: Convert to fraction form
    16,002.03/24,007.92 = 9,414.30/x
  3. Step 3: Cross multiply
    16,002.03x = 24,007.92 × 9,414.30
  4. Step 4: Simplify right side
    16,002.03x = 226,017,761.26
  5. Step 5: Solve for x
    x = 226,017,761.26/16,002.03
  6. Step 6: Final answer
    x = 14,124.32

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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.