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Finding the Fourth Proportional to 11,585.81, 17,229.68 and 11,216.75

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Solution

The fourth proportional to 11,585.81, 17,229.68 and 11,216.75 is: 16,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.81 : 17,229.68 = 11,216.75 : x
  2. Step 2: Convert to fraction form
    11,585.81/17,229.68 = 11,216.75/x
  3. Step 3: Cross multiply
    11,585.81x = 17,229.68 × 11,216.75
  4. Step 4: Simplify right side
    11,585.81x = 193,261,000.13
  5. Step 5: Solve for x
    x = 193,261,000.13/11,585.81
  6. Step 6: Final answer
    x = 16,680.83

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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.