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Finding the Fourth Proportional to 20,141.80, 27,809.22 and 15,417.64

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Solution

The fourth proportional to 20,141.80, 27,809.22 and 15,417.64 is: 21,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.80 : 27,809.22 = 15,417.64 : x
  2. Step 2: Convert to fraction form
    20,141.80/27,809.22 = 15,417.64/x
  3. Step 3: Cross multiply
    20,141.80x = 27,809.22 × 15,417.64
  4. Step 4: Simplify right side
    20,141.80x = 428,752,542.64
  5. Step 5: Solve for x
    x = 428,752,542.64/20,141.80
  6. Step 6: Final answer
    x = 21,286.70

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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.