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Finding the Fourth Proportional to 25,854.88, 38,793.84 and 13,540

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Solution

The fourth proportional to 25,854.88, 38,793.84 and 13,540 is: 20,316.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.88 : 38,793.84 = 13,540 : x
  2. Step 2: Convert to fraction form
    25,854.88/38,793.84 = 13,540/x
  3. Step 3: Cross multiply
    25,854.88x = 38,793.84 × 13,540
  4. Step 4: Simplify right side
    25,854.88x = 525,268,593.60
  5. Step 5: Solve for x
    x = 525,268,593.60/25,854.88
  6. Step 6: Final answer
    x = 20,316.03

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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.