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Finding the Fourth Proportional to 15,916.35, 23,874.50 and 4,229.57

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Solution

The fourth proportional to 15,916.35, 23,874.50 and 4,229.57 is: 6,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.35 : 23,874.50 = 4,229.57 : x
  2. Step 2: Convert to fraction form
    15,916.35/23,874.50 = 4,229.57/x
  3. Step 3: Cross multiply
    15,916.35x = 23,874.50 × 4,229.57
  4. Step 4: Simplify right side
    15,916.35x = 100,978,781.14
  5. Step 5: Solve for x
    x = 100,978,781.14/15,916.35
  6. Step 6: Final answer
    x = 6,344.34

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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.