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Finding the Fourth Proportional to 16,342.86, 24,517.17 and 7,587.66

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Solution

The fourth proportional to 16,342.86, 24,517.17 and 7,587.66 is: 11,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.86 : 24,517.17 = 7,587.66 : x
  2. Step 2: Convert to fraction form
    16,342.86/24,517.17 = 7,587.66/x
  3. Step 3: Cross multiply
    16,342.86x = 24,517.17 × 7,587.66
  4. Step 4: Simplify right side
    16,342.86x = 186,027,950.12
  5. Step 5: Solve for x
    x = 186,027,950.12/16,342.86
  6. Step 6: Final answer
    x = 11,382.83

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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.