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Finding the Fourth Proportional to 23,114.30, 34,691.10 and 9,084.14

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Solution

The fourth proportional to 23,114.30, 34,691.10 and 9,084.14 is: 13,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.30 : 34,691.10 = 9,084.14 : x
  2. Step 2: Convert to fraction form
    23,114.30/34,691.10 = 9,084.14/x
  3. Step 3: Cross multiply
    23,114.30x = 34,691.10 × 9,084.14
  4. Step 4: Simplify right side
    23,114.30x = 315,138,635.70
  5. Step 5: Solve for x
    x = 315,138,635.70/23,114.30
  6. Step 6: Final answer
    x = 13,633.93

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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.