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Finding the Fourth Proportional to 16,234.92, 24,349.30 and 5,702.46

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Solution

The fourth proportional to 16,234.92, 24,349.30 and 5,702.46 is: 8,552.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.92 : 24,349.30 = 5,702.46 : x
  2. Step 2: Convert to fraction form
    16,234.92/24,349.30 = 5,702.46/x
  3. Step 3: Cross multiply
    16,234.92x = 24,349.30 × 5,702.46
  4. Step 4: Simplify right side
    16,234.92x = 138,850,880.77
  5. Step 5: Solve for x
    x = 138,850,880.77/16,234.92
  6. Step 6: Final answer
    x = 8,552.61

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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.