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Finding the Fourth Proportional to 16,400.92, 24,601.52 and 4,714.13

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Solution

The fourth proportional to 16,400.92, 24,601.52 and 4,714.13 is: 7,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.92 : 24,601.52 = 4,714.13 : x
  2. Step 2: Convert to fraction form
    16,400.92/24,601.52 = 4,714.13/x
  3. Step 3: Cross multiply
    16,400.92x = 24,601.52 × 4,714.13
  4. Step 4: Simplify right side
    16,400.92x = 115,974,763.48
  5. Step 5: Solve for x
    x = 115,974,763.48/16,400.92
  6. Step 6: Final answer
    x = 7,071.24

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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.