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Finding the Fourth Proportional to 23,380.59, 32,265.16 and 12,770.22

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Solution

The fourth proportional to 23,380.59, 32,265.16 and 12,770.22 is: 17,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,380.59 : 32,265.16 = 12,770.22 : x
  2. Step 2: Convert to fraction form
    23,380.59/32,265.16 = 12,770.22/x
  3. Step 3: Cross multiply
    23,380.59x = 32,265.16 × 12,770.22
  4. Step 4: Simplify right side
    23,380.59x = 412,033,191.54
  5. Step 5: Solve for x
    x = 412,033,191.54/23,380.59
  6. Step 6: Final answer
    x = 17,622.87

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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.