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Finding the Fourth Proportional to 27,371.34, 41,060.52 and 9,837

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Solution

The fourth proportional to 27,371.34, 41,060.52 and 9,837 is: 14,756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,371.34 : 41,060.52 = 9,837 : x
  2. Step 2: Convert to fraction form
    27,371.34/41,060.52 = 9,837/x
  3. Step 3: Cross multiply
    27,371.34x = 41,060.52 × 9,837
  4. Step 4: Simplify right side
    27,371.34x = 403,912,335.24
  5. Step 5: Solve for x
    x = 403,912,335.24/27,371.34
  6. Step 6: Final answer
    x = 14,756.76

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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.