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Finding the Fourth Proportional to 26,901.92, 40,351.68 and 8,182.40

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Solution

The fourth proportional to 26,901.92, 40,351.68 and 8,182.40 is: 12,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,901.92 : 40,351.68 = 8,182.40 : x
  2. Step 2: Convert to fraction form
    26,901.92/40,351.68 = 8,182.40/x
  3. Step 3: Cross multiply
    26,901.92x = 40,351.68 × 8,182.40
  4. Step 4: Simplify right side
    26,901.92x = 330,173,586.43
  5. Step 5: Solve for x
    x = 330,173,586.43/26,901.92
  6. Step 6: Final answer
    x = 12,273.24

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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.