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Finding the Fourth Proportional to 22,946.49, 34,422.17 and 8,158.73

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Solution

The fourth proportional to 22,946.49, 34,422.17 and 8,158.73 is: 12,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,946.49 : 34,422.17 = 8,158.73 : x
  2. Step 2: Convert to fraction form
    22,946.49/34,422.17 = 8,158.73/x
  3. Step 3: Cross multiply
    22,946.49x = 34,422.17 × 8,158.73
  4. Step 4: Simplify right side
    22,946.49x = 280,840,978.14
  5. Step 5: Solve for x
    x = 280,840,978.14/22,946.49
  6. Step 6: Final answer
    x = 12,238.95

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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.