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Finding the Fourth Proportional to 16,585.26, 24,862.24 and 8,257.39

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Solution

The fourth proportional to 16,585.26, 24,862.24 and 8,257.39 is: 12,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.26 : 24,862.24 = 8,257.39 : x
  2. Step 2: Convert to fraction form
    16,585.26/24,862.24 = 8,257.39/x
  3. Step 3: Cross multiply
    16,585.26x = 24,862.24 × 8,257.39
  4. Step 4: Simplify right side
    16,585.26x = 205,297,211.95
  5. Step 5: Solve for x
    x = 205,297,211.95/16,585.26
  6. Step 6: Final answer
    x = 12,378.29

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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.