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Finding the Fourth Proportional to 17,499.29, 24,149.13 and 9,541.65

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Solution

The fourth proportional to 17,499.29, 24,149.13 and 9,541.65 is: 13,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,499.29 : 24,149.13 = 9,541.65 : x
  2. Step 2: Convert to fraction form
    17,499.29/24,149.13 = 9,541.65/x
  3. Step 3: Cross multiply
    17,499.29x = 24,149.13 × 9,541.65
  4. Step 4: Simplify right side
    17,499.29x = 230,422,546.26
  5. Step 5: Solve for x
    x = 230,422,546.26/17,499.29
  6. Step 6: Final answer
    x = 13,167.54

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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.