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Finding the Fourth Proportional to 26,947.80, 40,423.80 and 7,226.16

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Solution

The fourth proportional to 26,947.80, 40,423.80 and 7,226.16 is: 10,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,947.80 : 40,423.80 = 7,226.16 : x
  2. Step 2: Convert to fraction form
    26,947.80/40,423.80 = 7,226.16/x
  3. Step 3: Cross multiply
    26,947.80x = 40,423.80 × 7,226.16
  4. Step 4: Simplify right side
    26,947.80x = 292,108,846.61
  5. Step 5: Solve for x
    x = 292,108,846.61/26,947.80
  6. Step 6: Final answer
    x = 10,839.80

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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.