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Finding the Fourth Proportional to 26,948.30, 40,426.74 and 8,224.04

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Solution

The fourth proportional to 26,948.30, 40,426.74 and 8,224.04 is: 12,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,948.30 : 40,426.74 = 8,224.04 : x
  2. Step 2: Convert to fraction form
    26,948.30/40,426.74 = 8,224.04/x
  3. Step 3: Cross multiply
    26,948.30x = 40,426.74 × 8,224.04
  4. Step 4: Simplify right side
    26,948.30x = 332,471,126.83
  5. Step 5: Solve for x
    x = 332,471,126.83/26,948.30
  6. Step 6: Final answer
    x = 12,337.37

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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.