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Finding the Fourth Proportional to 24,882, 37,323.72 and 6,414

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Solution

The fourth proportional to 24,882, 37,323.72 and 6,414 is: 9,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,882 : 37,323.72 = 6,414 : x
  2. Step 2: Convert to fraction form
    24,882/37,323.72 = 6,414/x
  3. Step 3: Cross multiply
    24,882x = 37,323.72 × 6,414
  4. Step 4: Simplify right side
    24,882x = 239,394,340.08
  5. Step 5: Solve for x
    x = 239,394,340.08/24,882
  6. Step 6: Final answer
    x = 9,621.19

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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.