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Finding the Fourth Proportional to 12,454.23, 17,168.97 and 9,797.02

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Solution

The fourth proportional to 12,454.23, 17,168.97 and 9,797.02 is: 13,505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.23 : 17,168.97 = 9,797.02 : x
  2. Step 2: Convert to fraction form
    12,454.23/17,168.97 = 9,797.02/x
  3. Step 3: Cross multiply
    12,454.23x = 17,168.97 × 9,797.02
  4. Step 4: Simplify right side
    12,454.23x = 168,204,742.47
  5. Step 5: Solve for x
    x = 168,204,742.47/12,454.23
  6. Step 6: Final answer
    x = 13,505.83

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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.