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Finding the Fourth Proportional to 25,910.16, 38,865.24 and 10,327.92

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Solution

The fourth proportional to 25,910.16, 38,865.24 and 10,327.92 is: 15,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,910.16 : 38,865.24 = 10,327.92 : x
  2. Step 2: Convert to fraction form
    25,910.16/38,865.24 = 10,327.92/x
  3. Step 3: Cross multiply
    25,910.16x = 38,865.24 × 10,327.92
  4. Step 4: Simplify right side
    25,910.16x = 401,397,089.50
  5. Step 5: Solve for x
    x = 401,397,089.50/25,910.16
  6. Step 6: Final answer
    x = 15,491.88

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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.