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Finding the Fourth Proportional to 17,469.82, 24,115.59 and 13,222.06

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Solution

The fourth proportional to 17,469.82, 24,115.59 and 13,222.06 is: 18,251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,469.82 : 24,115.59 = 13,222.06 : x
  2. Step 2: Convert to fraction form
    17,469.82/24,115.59 = 13,222.06/x
  3. Step 3: Cross multiply
    17,469.82x = 24,115.59 × 13,222.06
  4. Step 4: Simplify right side
    17,469.82x = 318,857,854.73
  5. Step 5: Solve for x
    x = 318,857,854.73/17,469.82
  6. Step 6: Final answer
    x = 18,251.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.