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Finding the Fourth Proportional to 27,851.68, 41,748.22 and 9,126.84

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Solution

The fourth proportional to 27,851.68, 41,748.22 and 9,126.84 is: 13,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,851.68 : 41,748.22 = 9,126.84 : x
  2. Step 2: Convert to fraction form
    27,851.68/41,748.22 = 9,126.84/x
  3. Step 3: Cross multiply
    27,851.68x = 41,748.22 × 9,126.84
  4. Step 4: Simplify right side
    27,851.68x = 381,029,324.22
  5. Step 5: Solve for x
    x = 381,029,324.22/27,851.68
  6. Step 6: Final answer
    x = 13,680.66

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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.