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Finding the Fourth Proportional to 24,870, 37,305 and 8,454

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Solution

The fourth proportional to 24,870, 37,305 and 8,454 is: 12,681

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,870 : 37,305 = 8,454 : x
  2. Step 2: Convert to fraction form
    24,870/37,305 = 8,454/x
  3. Step 3: Cross multiply
    24,870x = 37,305 × 8,454
  4. Step 4: Simplify right side
    24,870x = 315,376,470
  5. Step 5: Solve for x
    x = 315,376,470/24,870
  6. Step 6: Final answer
    x = 12,681

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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.