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Finding the Fourth Proportional to 36,260.20, 54,391.64 and 9,967

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Solution

The fourth proportional to 36,260.20, 54,391.64 and 9,967 is: 14,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,260.20 : 54,391.64 = 9,967 : x
  2. Step 2: Convert to fraction form
    36,260.20/54,391.64 = 9,967/x
  3. Step 3: Cross multiply
    36,260.20x = 54,391.64 × 9,967
  4. Step 4: Simplify right side
    36,260.20x = 542,121,475.88
  5. Step 5: Solve for x
    x = 542,121,475.88/36,260.20
  6. Step 6: Final answer
    x = 14,950.87

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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.