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Finding the Fourth Proportional to 16,280.74, 24,404.70 and 6,416.20

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Solution

The fourth proportional to 16,280.74, 24,404.70 and 6,416.20 is: 9,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.74 : 24,404.70 = 6,416.20 : x
  2. Step 2: Convert to fraction form
    16,280.74/24,404.70 = 6,416.20/x
  3. Step 3: Cross multiply
    16,280.74x = 24,404.70 × 6,416.20
  4. Step 4: Simplify right side
    16,280.74x = 156,585,436.14
  5. Step 5: Solve for x
    x = 156,585,436.14/16,280.74
  6. Step 6: Final answer
    x = 9,617.83

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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.