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Finding the Fourth Proportional to 22,934.60, 34,405.31 and 8,142.28

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Solution

The fourth proportional to 22,934.60, 34,405.31 and 8,142.28 is: 12,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,934.60 : 34,405.31 = 8,142.28 : x
  2. Step 2: Convert to fraction form
    22,934.60/34,405.31 = 8,142.28/x
  3. Step 3: Cross multiply
    22,934.60x = 34,405.31 × 8,142.28
  4. Step 4: Simplify right side
    22,934.60x = 280,137,601.85
  5. Step 5: Solve for x
    x = 280,137,601.85/22,934.60
  6. Step 6: Final answer
    x = 12,214.63

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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.