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Finding the Fourth Proportional to 25,832.91, 38,749.20 and 8,302.79

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Solution

The fourth proportional to 25,832.91, 38,749.20 and 8,302.79 is: 12,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.91 : 38,749.20 = 8,302.79 : x
  2. Step 2: Convert to fraction form
    25,832.91/38,749.20 = 8,302.79/x
  3. Step 3: Cross multiply
    25,832.91x = 38,749.20 × 8,302.79
  4. Step 4: Simplify right side
    25,832.91x = 321,726,276.52
  5. Step 5: Solve for x
    x = 321,726,276.52/25,832.91
  6. Step 6: Final answer
    x = 12,454.12

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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.