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Finding the Fourth Proportional to 27,494.32, 37,942.32 and 14,919.16

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Solution

The fourth proportional to 27,494.32, 37,942.32 and 14,919.16 is: 20,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494.32 : 37,942.32 = 14,919.16 : x
  2. Step 2: Convert to fraction form
    27,494.32/37,942.32 = 14,919.16/x
  3. Step 3: Cross multiply
    27,494.32x = 37,942.32 × 14,919.16
  4. Step 4: Simplify right side
    27,494.32x = 566,067,542.85
  5. Step 5: Solve for x
    x = 566,067,542.85/27,494.32
  6. Step 6: Final answer
    x = 20,588.53

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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.