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Finding the Fourth Proportional to 27,837, 41,754.69 and 10,306.44

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Solution

The fourth proportional to 27,837, 41,754.69 and 10,306.44 is: 15,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,837 : 41,754.69 = 10,306.44 : x
  2. Step 2: Convert to fraction form
    27,837/41,754.69 = 10,306.44/x
  3. Step 3: Cross multiply
    27,837x = 41,754.69 × 10,306.44
  4. Step 4: Simplify right side
    27,837x = 430,342,207.20
  5. Step 5: Solve for x
    x = 430,342,207.20/27,837
  6. Step 6: Final answer
    x = 15,459.36

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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.