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Finding the Fourth Proportional to 27,387.28, 37,794.42 and 14,812

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Solution

The fourth proportional to 27,387.28, 37,794.42 and 14,812 is: 20,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,387.28 : 37,794.42 = 14,812 : x
  2. Step 2: Convert to fraction form
    27,387.28/37,794.42 = 14,812/x
  3. Step 3: Cross multiply
    27,387.28x = 37,794.42 × 14,812
  4. Step 4: Simplify right side
    27,387.28x = 559,810,949.04
  5. Step 5: Solve for x
    x = 559,810,949.04/27,387.28
  6. Step 6: Final answer
    x = 20,440.55

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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.