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Finding the Fourth Proportional to 27,494.38, 37,942.24 and 14,919.14

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Solution

The fourth proportional to 27,494.38, 37,942.24 and 14,919.14 is: 20,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494.38 : 37,942.24 = 14,919.14 : x
  2. Step 2: Convert to fraction form
    27,494.38/37,942.24 = 14,919.14/x
  3. Step 3: Cross multiply
    27,494.38x = 37,942.24 × 14,919.14
  4. Step 4: Simplify right side
    27,494.38x = 566,065,590.47
  5. Step 5: Solve for x
    x = 566,065,590.47/27,494.38
  6. Step 6: Final answer
    x = 20,588.41

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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.