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Finding the Fourth Proportional to 24,474, 36,711.36 and 6,006

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Solution

The fourth proportional to 24,474, 36,711.36 and 6,006 is: 9,009.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474 : 36,711.36 = 6,006 : x
  2. Step 2: Convert to fraction form
    24,474/36,711.36 = 6,006/x
  3. Step 3: Cross multiply
    24,474x = 36,711.36 × 6,006
  4. Step 4: Simplify right side
    24,474x = 220,488,428.16
  5. Step 5: Solve for x
    x = 220,488,428.16/24,474
  6. Step 6: Final answer
    x = 9,009.09

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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.