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Finding the Fourth Proportional to 17,691.20, 24,409.44 and 11,396

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Solution

The fourth proportional to 17,691.20, 24,409.44 and 11,396 is: 15,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.20 : 24,409.44 = 11,396 : x
  2. Step 2: Convert to fraction form
    17,691.20/24,409.44 = 11,396/x
  3. Step 3: Cross multiply
    17,691.20x = 24,409.44 × 11,396
  4. Step 4: Simplify right side
    17,691.20x = 278,169,978.24
  5. Step 5: Solve for x
    x = 278,169,978.24/17,691.20
  6. Step 6: Final answer
    x = 15,723.64

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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.