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Finding the Fourth Proportional to 17,531.20, 24,193.19 and 9,978.11

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Solution

The fourth proportional to 17,531.20, 24,193.19 and 9,978.11 is: 13,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531.20 : 24,193.19 = 9,978.11 : x
  2. Step 2: Convert to fraction form
    17,531.20/24,193.19 = 9,978.11/x
  3. Step 3: Cross multiply
    17,531.20x = 24,193.19 × 9,978.11
  4. Step 4: Simplify right side
    17,531.20x = 241,402,311.07
  5. Step 5: Solve for x
    x = 241,402,311.07/17,531.20
  6. Step 6: Final answer
    x = 13,769.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.