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Finding the Fourth Proportional to 24,363.80, 36,545.70 and 5,895.80

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Solution

The fourth proportional to 24,363.80, 36,545.70 and 5,895.80 is: 8,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,363.80 : 36,545.70 = 5,895.80 : x
  2. Step 2: Convert to fraction form
    24,363.80/36,545.70 = 5,895.80/x
  3. Step 3: Cross multiply
    24,363.80x = 36,545.70 × 5,895.80
  4. Step 4: Simplify right side
    24,363.80x = 215,466,138.06
  5. Step 5: Solve for x
    x = 215,466,138.06/24,363.80
  6. Step 6: Final answer
    x = 8,843.70

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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.