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Finding the Fourth Proportional to 23,680.78, 32,677.17 and 13,069.75

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Solution

The fourth proportional to 23,680.78, 32,677.17 and 13,069.75 is: 18,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680.78 : 32,677.17 = 13,069.75 : x
  2. Step 2: Convert to fraction form
    23,680.78/32,677.17 = 13,069.75/x
  3. Step 3: Cross multiply
    23,680.78x = 32,677.17 × 13,069.75
  4. Step 4: Simplify right side
    23,680.78x = 427,082,442.61
  5. Step 5: Solve for x
    x = 427,082,442.61/23,680.78
  6. Step 6: Final answer
    x = 18,034.98

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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.