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Finding the Fourth Proportional to 24,371.92, 36,572.92 and 9,578.24

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Solution

The fourth proportional to 24,371.92, 36,572.92 and 9,578.24 is: 14,373.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,371.92 : 36,572.92 = 9,578.24 : x
  2. Step 2: Convert to fraction form
    24,371.92/36,572.92 = 9,578.24/x
  3. Step 3: Cross multiply
    24,371.92x = 36,572.92 × 9,578.24
  4. Step 4: Simplify right side
    24,371.92x = 350,304,205.26
  5. Step 5: Solve for x
    x = 350,304,205.26/24,371.92
  6. Step 6: Final answer
    x = 14,373.27

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1.5x scale

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.