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Finding the Fourth Proportional to 11,584.67, 17,292.22 and 9,951.71

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Solution

The fourth proportional to 11,584.67, 17,292.22 and 9,951.71 is: 14,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.67 : 17,292.22 = 9,951.71 : x
  2. Step 2: Convert to fraction form
    11,584.67/17,292.22 = 9,951.71/x
  3. Step 3: Cross multiply
    11,584.67x = 17,292.22 × 9,951.71
  4. Step 4: Simplify right side
    11,584.67x = 172,087,047.36
  5. Step 5: Solve for x
    x = 172,087,047.36/11,584.67
  6. Step 6: Final answer
    x = 14,854.73

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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.