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Finding the Fourth Proportional to 24,363, 36,545.70 and 7,947

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Solution

The fourth proportional to 24,363, 36,545.70 and 7,947 is: 11,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,363 : 36,545.70 = 7,947 : x
  2. Step 2: Convert to fraction form
    24,363/36,545.70 = 7,947/x
  3. Step 3: Cross multiply
    24,363x = 36,545.70 × 7,947
  4. Step 4: Simplify right side
    24,363x = 290,428,677.90
  5. Step 5: Solve for x
    x = 290,428,677.90/24,363
  6. Step 6: Final answer
    x = 11,920.89

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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.