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Finding the Fourth Proportional to 25,862.28, 38,795.34 and 8,344.68

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Solution

The fourth proportional to 25,862.28, 38,795.34 and 8,344.68 is: 12,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,862.28 : 38,795.34 = 8,344.68 : x
  2. Step 2: Convert to fraction form
    25,862.28/38,795.34 = 8,344.68/x
  3. Step 3: Cross multiply
    25,862.28x = 38,795.34 × 8,344.68
  4. Step 4: Simplify right side
    25,862.28x = 323,734,697.79
  5. Step 5: Solve for x
    x = 323,734,697.79/25,862.28
  6. Step 6: Final answer
    x = 12,517.64

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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.