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Finding the Fourth Proportional to 25,542.88, 38,301.36 and 11,680

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Solution

The fourth proportional to 25,542.88, 38,301.36 and 11,680 is: 17,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542.88 : 38,301.36 = 11,680 : x
  2. Step 2: Convert to fraction form
    25,542.88/38,301.36 = 11,680/x
  3. Step 3: Cross multiply
    25,542.88x = 38,301.36 × 11,680
  4. Step 4: Simplify right side
    25,542.88x = 447,359,884.80
  5. Step 5: Solve for x
    x = 447,359,884.80/25,542.88
  6. Step 6: Final answer
    x = 17,514.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.