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Finding the Fourth Proportional to 27,740.92, 38,282.62 and 15,165.66

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Solution

The fourth proportional to 27,740.92, 38,282.62 and 15,165.66 is: 20,928.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740.92 : 38,282.62 = 15,165.66 : x
  2. Step 2: Convert to fraction form
    27,740.92/38,282.62 = 15,165.66/x
  3. Step 3: Cross multiply
    27,740.92x = 38,282.62 × 15,165.66
  4. Step 4: Simplify right side
    27,740.92x = 580,581,198.83
  5. Step 5: Solve for x
    x = 580,581,198.83/27,740.92
  6. Step 6: Final answer
    x = 20,928.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.