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Finding the Fourth Proportional to 36,177.92, 54,262.56 and 9,884.96

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Solution

The fourth proportional to 36,177.92, 54,262.56 and 9,884.96 is: 14,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,177.92 : 54,262.56 = 9,884.96 : x
  2. Step 2: Convert to fraction form
    36,177.92/54,262.56 = 9,884.96/x
  3. Step 3: Cross multiply
    36,177.92x = 54,262.56 × 9,884.96
  4. Step 4: Simplify right side
    36,177.92x = 536,383,235.10
  5. Step 5: Solve for x
    x = 536,383,235.10/36,177.92
  6. Step 6: Final answer
    x = 14,826.26

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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.