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Finding the Fourth Proportional to 17,498.70, 24,148.67 and 9,541.04

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Solution

The fourth proportional to 17,498.70, 24,148.67 and 9,541.04 is: 13,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,498.70 : 24,148.67 = 9,541.04 : x
  2. Step 2: Convert to fraction form
    17,498.70/24,148.67 = 9,541.04/x
  3. Step 3: Cross multiply
    17,498.70x = 24,148.67 × 9,541.04
  4. Step 4: Simplify right side
    17,498.70x = 230,403,257.97
  5. Step 5: Solve for x
    x = 230,403,257.97/17,498.70
  6. Step 6: Final answer
    x = 13,166.88

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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.