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Finding the Fourth Proportional to 16,545.87, 24,787.49 and 12,829.86

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Solution

The fourth proportional to 16,545.87, 24,787.49 and 12,829.86 is: 19,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545.87 : 24,787.49 = 12,829.86 : x
  2. Step 2: Convert to fraction form
    16,545.87/24,787.49 = 12,829.86/x
  3. Step 3: Cross multiply
    16,545.87x = 24,787.49 × 12,829.86
  4. Step 4: Simplify right side
    16,545.87x = 318,019,962.30
  5. Step 5: Solve for x
    x = 318,019,962.30/16,545.87
  6. Step 6: Final answer
    x = 19,220.50

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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.