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Finding the Fourth Proportional to 27,799.20, 41,701.53 and 8,077.93

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Solution

The fourth proportional to 27,799.20, 41,701.53 and 8,077.93 is: 12,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,799.20 : 41,701.53 = 8,077.93 : x
  2. Step 2: Convert to fraction form
    27,799.20/41,701.53 = 8,077.93/x
  3. Step 3: Cross multiply
    27,799.20x = 41,701.53 × 8,077.93
  4. Step 4: Simplify right side
    27,799.20x = 336,861,966.27
  5. Step 5: Solve for x
    x = 336,861,966.27/27,799.20
  6. Step 6: Final answer
    x = 12,117.69

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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.