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Finding the Fourth Proportional to 27,844.38, 38,425.68 and 15,097.80

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Solution

The fourth proportional to 27,844.38, 38,425.68 and 15,097.80 is: 20,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844.38 : 38,425.68 = 15,097.80 : x
  2. Step 2: Convert to fraction form
    27,844.38/38,425.68 = 15,097.80/x
  3. Step 3: Cross multiply
    27,844.38x = 38,425.68 × 15,097.80
  4. Step 4: Simplify right side
    27,844.38x = 580,143,231.50
  5. Step 5: Solve for x
    x = 580,143,231.50/27,844.38
  6. Step 6: Final answer
    x = 20,835.20

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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.