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Finding the Fourth Proportional to 25,229.52, 37,822.28 and 10,429.20

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Solution

The fourth proportional to 25,229.52, 37,822.28 and 10,429.20 is: 15,634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,229.52 : 37,822.28 = 10,429.20 : x
  2. Step 2: Convert to fraction form
    25,229.52/37,822.28 = 10,429.20/x
  3. Step 3: Cross multiply
    25,229.52x = 37,822.28 × 10,429.20
  4. Step 4: Simplify right side
    25,229.52x = 394,456,122.58
  5. Step 5: Solve for x
    x = 394,456,122.58/25,229.52
  6. Step 6: Final answer
    x = 15,634.71

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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.