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Finding the Fourth Proportional to 27,542.98, 41,314.14 and 10,012.66

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Solution

The fourth proportional to 27,542.98, 41,314.14 and 10,012.66 is: 15,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.98 : 41,314.14 = 10,012.66 : x
  2. Step 2: Convert to fraction form
    27,542.98/41,314.14 = 10,012.66/x
  3. Step 3: Cross multiply
    27,542.98x = 41,314.14 × 10,012.66
  4. Step 4: Simplify right side
    27,542.98x = 413,664,437.01
  5. Step 5: Solve for x
    x = 413,664,437.01/27,542.98
  6. Step 6: Final answer
    x = 15,018.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.