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Finding the Fourth Proportional to 16,515.92, 24,773.90 and 4,829.15

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Solution

The fourth proportional to 16,515.92, 24,773.90 and 4,829.15 is: 7,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,515.92 : 24,773.90 = 4,829.15 : x
  2. Step 2: Convert to fraction form
    16,515.92/24,773.90 = 4,829.15/x
  3. Step 3: Cross multiply
    16,515.92x = 24,773.90 × 4,829.15
  4. Step 4: Simplify right side
    16,515.92x = 119,636,916.97
  5. Step 5: Solve for x
    x = 119,636,916.97/16,515.92
  6. Step 6: Final answer
    x = 7,243.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.