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Finding the Fourth Proportional to 27,661.77, 41,508.86 and 10,132.83

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Solution

The fourth proportional to 27,661.77, 41,508.86 and 10,132.83 is: 15,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661.77 : 41,508.86 = 10,132.83 : x
  2. Step 2: Convert to fraction form
    27,661.77/41,508.86 = 10,132.83/x
  3. Step 3: Cross multiply
    27,661.77x = 41,508.86 × 10,132.83
  4. Step 4: Simplify right side
    27,661.77x = 420,602,171.21
  5. Step 5: Solve for x
    x = 420,602,171.21/27,661.77
  6. Step 6: Final answer
    x = 15,205.18

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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.