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Finding the Fourth Proportional to 27,702.74, 38,216.70 and 20,145.75

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Solution

The fourth proportional to 27,702.74, 38,216.70 and 20,145.75 is: 27,791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.74 : 38,216.70 = 20,145.75 : x
  2. Step 2: Convert to fraction form
    27,702.74/38,216.70 = 20,145.75/x
  3. Step 3: Cross multiply
    27,702.74x = 38,216.70 × 20,145.75
  4. Step 4: Simplify right side
    27,702.74x = 769,904,084.03
  5. Step 5: Solve for x
    x = 769,904,084.03/27,702.74
  6. Step 6: Final answer
    x = 27,791.63

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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.