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Finding the Fourth Proportional to 27,708.28, 41,559.86 and 11,291

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Solution

The fourth proportional to 27,708.28, 41,559.86 and 11,291 is: 16,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,708.28 : 41,559.86 = 11,291 : x
  2. Step 2: Convert to fraction form
    27,708.28/41,559.86 = 11,291/x
  3. Step 3: Cross multiply
    27,708.28x = 41,559.86 × 11,291
  4. Step 4: Simplify right side
    27,708.28x = 469,252,379.26
  5. Step 5: Solve for x
    x = 469,252,379.26/27,708.28
  6. Step 6: Final answer
    x = 16,935.46

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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.