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Finding the Fourth Proportional to 17,498.62, 24,148.02 and 9,541

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Solution

The fourth proportional to 17,498.62, 24,148.02 and 9,541 is: 13,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,498.62 : 24,148.02 = 9,541 : x
  2. Step 2: Convert to fraction form
    17,498.62/24,148.02 = 9,541/x
  3. Step 3: Cross multiply
    17,498.62x = 24,148.02 × 9,541
  4. Step 4: Simplify right side
    17,498.62x = 230,396,258.82
  5. Step 5: Solve for x
    x = 230,396,258.82/17,498.62
  6. Step 6: Final answer
    x = 13,166.54

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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.