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Finding the Fourth Proportional to 16,071.52, 24,098.04 and 8,565.83

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Solution

The fourth proportional to 16,071.52, 24,098.04 and 8,565.83 is: 12,843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.52 : 24,098.04 = 8,565.83 : x
  2. Step 2: Convert to fraction form
    16,071.52/24,098.04 = 8,565.83/x
  3. Step 3: Cross multiply
    16,071.52x = 24,098.04 × 8,565.83
  4. Step 4: Simplify right side
    16,071.52x = 206,419,774.22
  5. Step 5: Solve for x
    x = 206,419,774.22/16,071.52
  6. Step 6: Final answer
    x = 12,843.83

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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.