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Finding the Fourth Proportional to 27,974.11, 38,605.09 and 15,228.12

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Solution

The fourth proportional to 27,974.11, 38,605.09 and 15,228.12 is: 21,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,974.11 : 38,605.09 = 15,228.12 : x
  2. Step 2: Convert to fraction form
    27,974.11/38,605.09 = 15,228.12/x
  3. Step 3: Cross multiply
    27,974.11x = 38,605.09 × 15,228.12
  4. Step 4: Simplify right side
    27,974.11x = 587,882,943.13
  5. Step 5: Solve for x
    x = 587,882,943.13/27,974.11
  6. Step 6: Final answer
    x = 21,015.25

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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.