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Finding the Fourth Proportional to 27,857.42, 41,756.82 and 9,132.60

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Solution

The fourth proportional to 27,857.42, 41,756.82 and 9,132.60 is: 13,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.42 : 41,756.82 = 9,132.60 : x
  2. Step 2: Convert to fraction form
    27,857.42/41,756.82 = 9,132.60/x
  3. Step 3: Cross multiply
    27,857.42x = 41,756.82 × 9,132.60
  4. Step 4: Simplify right side
    27,857.42x = 381,348,334.33
  5. Step 5: Solve for x
    x = 381,348,334.33/27,857.42
  6. Step 6: Final answer
    x = 13,689.29

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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.