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Finding the Fourth Proportional to 22,914.30, 34,363.35 and 8,123.70

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Solution

The fourth proportional to 22,914.30, 34,363.35 and 8,123.70 is: 12,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,914.30 : 34,363.35 = 8,123.70 : x
  2. Step 2: Convert to fraction form
    22,914.30/34,363.35 = 8,123.70/x
  3. Step 3: Cross multiply
    22,914.30x = 34,363.35 × 8,123.70
  4. Step 4: Simplify right side
    22,914.30x = 279,157,546.40
  5. Step 5: Solve for x
    x = 279,157,546.40/22,914.30
  6. Step 6: Final answer
    x = 12,182.68

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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.