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Finding the Fourth Proportional to 22,906.40, 34,363.65 and 8,123.90

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Solution

The fourth proportional to 22,906.40, 34,363.65 and 8,123.90 is: 12,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.40 : 34,363.65 = 8,123.90 : x
  2. Step 2: Convert to fraction form
    22,906.40/34,363.65 = 8,123.90/x
  3. Step 3: Cross multiply
    22,906.40x = 34,363.65 × 8,123.90
  4. Step 4: Simplify right side
    22,906.40x = 279,166,856.24
  5. Step 5: Solve for x
    x = 279,166,856.24/22,906.40
  6. Step 6: Final answer
    x = 12,187.29

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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.