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Finding the Fourth Proportional to 18,531.89, 27,770.34 and 9,740.15

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Solution

The fourth proportional to 18,531.89, 27,770.34 and 9,740.15 is: 14,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,531.89 : 27,770.34 = 9,740.15 : x
  2. Step 2: Convert to fraction form
    18,531.89/27,770.34 = 9,740.15/x
  3. Step 3: Cross multiply
    18,531.89x = 27,770.34 × 9,740.15
  4. Step 4: Simplify right side
    18,531.89x = 270,487,278.96
  5. Step 5: Solve for x
    x = 270,487,278.96/18,531.89
  6. Step 6: Final answer
    x = 14,595.78

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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.