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Finding the Fourth Proportional to 27,494.25, 37,942.07 and 14,919

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Solution

The fourth proportional to 27,494.25, 37,942.07 and 14,919 is: 20,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494.25 : 37,942.07 = 14,919 : x
  2. Step 2: Convert to fraction form
    27,494.25/37,942.07 = 14,919/x
  3. Step 3: Cross multiply
    27,494.25x = 37,942.07 × 14,919
  4. Step 4: Simplify right side
    27,494.25x = 566,057,667.74
  5. Step 5: Solve for x
    x = 566,057,667.74/27,494.25
  6. Step 6: Final answer
    x = 20,588.22

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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.