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Finding the Fourth Proportional to 23,086.18, 34,632.87 and 8,097.34

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Solution

The fourth proportional to 23,086.18, 34,632.87 and 8,097.34 is: 12,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086.18 : 34,632.87 = 8,097.34 : x
  2. Step 2: Convert to fraction form
    23,086.18/34,632.87 = 8,097.34/x
  3. Step 3: Cross multiply
    23,086.18x = 34,632.87 × 8,097.34
  4. Step 4: Simplify right side
    23,086.18x = 280,434,123.57
  5. Step 5: Solve for x
    x = 280,434,123.57/23,086.18
  6. Step 6: Final answer
    x = 12,147.27

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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.