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Finding the Fourth Proportional to 16,585.76, 24,863 and 8,257.90

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Solution

The fourth proportional to 16,585.76, 24,863 and 8,257.90 is: 12,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.76 : 24,863 = 8,257.90 : x
  2. Step 2: Convert to fraction form
    16,585.76/24,863 = 8,257.90/x
  3. Step 3: Cross multiply
    16,585.76x = 24,863 × 8,257.90
  4. Step 4: Simplify right side
    16,585.76x = 205,316,167.70
  5. Step 5: Solve for x
    x = 205,316,167.70/16,585.76
  6. Step 6: Final answer
    x = 12,379.06

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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.