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Finding the Fourth Proportional to 27,974.31, 38,605.26 and 16,041.53

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Solution

The fourth proportional to 27,974.31, 38,605.26 and 16,041.53 is: 22,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,974.31 : 38,605.26 = 16,041.53 : x
  2. Step 2: Convert to fraction form
    27,974.31/38,605.26 = 16,041.53/x
  3. Step 3: Cross multiply
    27,974.31x = 38,605.26 × 16,041.53
  4. Step 4: Simplify right side
    27,974.31x = 619,287,243.42
  5. Step 5: Solve for x
    x = 619,287,243.42/27,974.31
  6. Step 6: Final answer
    x = 22,137.71

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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.