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Finding the Fourth Proportional to 11,701.80, 17,542.17 and 4,301.24

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Solution

The fourth proportional to 11,701.80, 17,542.17 and 4,301.24 is: 6,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.80 : 17,542.17 = 4,301.24 : x
  2. Step 2: Convert to fraction form
    11,701.80/17,542.17 = 4,301.24/x
  3. Step 3: Cross multiply
    11,701.80x = 17,542.17 × 4,301.24
  4. Step 4: Simplify right side
    11,701.80x = 75,452,995.58
  5. Step 5: Solve for x
    x = 75,452,995.58/11,701.80
  6. Step 6: Final answer
    x = 6,447.98

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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.