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Finding the Fourth Proportional to 25,824.38, 38,732.92 and 8,291.93

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Solution

The fourth proportional to 25,824.38, 38,732.92 and 8,291.93 is: 12,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,824.38 : 38,732.92 = 8,291.93 : x
  2. Step 2: Convert to fraction form
    25,824.38/38,732.92 = 8,291.93/x
  3. Step 3: Cross multiply
    25,824.38x = 38,732.92 × 8,291.93
  4. Step 4: Simplify right side
    25,824.38x = 321,170,446.94
  5. Step 5: Solve for x
    x = 321,170,446.94/25,824.38
  6. Step 6: Final answer
    x = 12,436.72

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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.