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Finding the Fourth Proportional to 16,148.54, 24,233.88 and 6,287.87

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Solution

The fourth proportional to 16,148.54, 24,233.88 and 6,287.87 is: 9,436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.54 : 24,233.88 = 6,287.87 : x
  2. Step 2: Convert to fraction form
    16,148.54/24,233.88 = 6,287.87/x
  3. Step 3: Cross multiply
    16,148.54x = 24,233.88 × 6,287.87
  4. Step 4: Simplify right side
    16,148.54x = 152,379,487.04
  5. Step 5: Solve for x
    x = 152,379,487.04/16,148.54
  6. Step 6: Final answer
    x = 9,436.12

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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.