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Finding the Fourth Proportional to 27,600.75, 41,407.65 and 9,132.75

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Solution

The fourth proportional to 27,600.75, 41,407.65 and 9,132.75 is: 13,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,600.75 : 41,407.65 = 9,132.75 : x
  2. Step 2: Convert to fraction form
    27,600.75/41,407.65 = 9,132.75/x
  3. Step 3: Cross multiply
    27,600.75x = 41,407.65 × 9,132.75
  4. Step 4: Simplify right side
    27,600.75x = 378,165,715.54
  5. Step 5: Solve for x
    x = 378,165,715.54/27,600.75
  6. Step 6: Final answer
    x = 13,701.28

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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.