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Finding the Fourth Proportional to 22,934.66, 34,405.41 and 8,142.34

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Solution

The fourth proportional to 22,934.66, 34,405.41 and 8,142.34 is: 12,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,934.66 : 34,405.41 = 8,142.34 : x
  2. Step 2: Convert to fraction form
    22,934.66/34,405.41 = 8,142.34/x
  3. Step 3: Cross multiply
    22,934.66x = 34,405.41 × 8,142.34
  4. Step 4: Simplify right side
    22,934.66x = 280,140,546.06
  5. Step 5: Solve for x
    x = 280,140,546.06/22,934.66
  6. Step 6: Final answer
    x = 12,214.72

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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.