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Finding the Fourth Proportional to 11,585.88, 17,229.76 and 11,216.82

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Solution

The fourth proportional to 11,585.88, 17,229.76 and 11,216.82 is: 16,680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.88 : 17,229.76 = 11,216.82 : x
  2. Step 2: Convert to fraction form
    11,585.88/17,229.76 = 11,216.82/x
  3. Step 3: Cross multiply
    11,585.88x = 17,229.76 × 11,216.82
  4. Step 4: Simplify right side
    11,585.88x = 193,263,116.56
  5. Step 5: Solve for x
    x = 193,263,116.56/11,585.88
  6. Step 6: Final answer
    x = 16,680.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.