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Finding the Fourth Proportional to 20,252.38, 27,927.84 and 13,538.02

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Solution

The fourth proportional to 20,252.38, 27,927.84 and 13,538.02 is: 18,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252.38 : 27,927.84 = 13,538.02 : x
  2. Step 2: Convert to fraction form
    20,252.38/27,927.84 = 13,538.02/x
  3. Step 3: Cross multiply
    20,252.38x = 27,927.84 × 13,538.02
  4. Step 4: Simplify right side
    20,252.38x = 378,087,656.48
  5. Step 5: Solve for x
    x = 378,087,656.48/20,252.38
  6. Step 6: Final answer
    x = 18,668.80

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Why These Related Problems?

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