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Finding the Fourth Proportional to 26,591.24, 39,886.68 and 8,123.24

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Solution

The fourth proportional to 26,591.24, 39,886.68 and 8,123.24 is: 12,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,591.24 : 39,886.68 = 8,123.24 : x
  2. Step 2: Convert to fraction form
    26,591.24/39,886.68 = 8,123.24/x
  3. Step 3: Cross multiply
    26,591.24x = 39,886.68 × 8,123.24
  4. Step 4: Simplify right side
    26,591.24x = 324,009,204.62
  5. Step 5: Solve for x
    x = 324,009,204.62/26,591.24
  6. Step 6: Final answer
    x = 12,184.81

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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.