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Finding the Fourth Proportional to 11,566.96, 17,422.49 and 10,755.88

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Solution

The fourth proportional to 11,566.96, 17,422.49 and 10,755.88 is: 16,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.96 : 17,422.49 = 10,755.88 : x
  2. Step 2: Convert to fraction form
    11,566.96/17,422.49 = 10,755.88/x
  3. Step 3: Cross multiply
    11,566.96x = 17,422.49 × 10,755.88
  4. Step 4: Simplify right side
    11,566.96x = 187,394,211.74
  5. Step 5: Solve for x
    x = 187,394,211.74/11,566.96
  6. Step 6: Final answer
    x = 16,200.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.