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Finding the Fourth Proportional to 27,142.59, 37,452.42 and 15,206.43

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Solution

The fourth proportional to 27,142.59, 37,452.42 and 15,206.43 is: 20,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.59 : 37,452.42 = 15,206.43 : x
  2. Step 2: Convert to fraction form
    27,142.59/37,452.42 = 15,206.43/x
  3. Step 3: Cross multiply
    27,142.59x = 37,452.42 × 15,206.43
  4. Step 4: Simplify right side
    27,142.59x = 569,517,603.06
  5. Step 5: Solve for x
    x = 569,517,603.06/27,142.59
  6. Step 6: Final answer
    x = 20,982.43

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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.