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Finding the Fourth Proportional to 11,463.12, 17,194.68 and 9,169.20

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Solution

The fourth proportional to 11,463.12, 17,194.68 and 9,169.20 is: 13,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.12 : 17,194.68 = 9,169.20 : x
  2. Step 2: Convert to fraction form
    11,463.12/17,194.68 = 9,169.20/x
  3. Step 3: Cross multiply
    11,463.12x = 17,194.68 × 9,169.20
  4. Step 4: Simplify right side
    11,463.12x = 157,661,459.86
  5. Step 5: Solve for x
    x = 157,661,459.86/11,463.12
  6. Step 6: Final answer
    x = 13,753.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.