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Finding the Fourth Proportional to 27,686.44, 41,536.26 and 8,966.49

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Solution

The fourth proportional to 27,686.44, 41,536.26 and 8,966.49 is: 13,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686.44 : 41,536.26 = 8,966.49 : x
  2. Step 2: Convert to fraction form
    27,686.44/41,536.26 = 8,966.49/x
  3. Step 3: Cross multiply
    27,686.44x = 41,536.26 × 8,966.49
  4. Step 4: Simplify right side
    27,686.44x = 372,434,459.93
  5. Step 5: Solve for x
    x = 372,434,459.93/27,686.44
  6. Step 6: Final answer
    x = 13,451.87

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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.