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Finding the Fourth Proportional to 17,693.20, 24,412.20 and 11,398

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Solution

The fourth proportional to 17,693.20, 24,412.20 and 11,398 is: 15,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,693.20 : 24,412.20 = 11,398 : x
  2. Step 2: Convert to fraction form
    17,693.20/24,412.20 = 11,398/x
  3. Step 3: Cross multiply
    17,693.20x = 24,412.20 × 11,398
  4. Step 4: Simplify right side
    17,693.20x = 278,250,255.60
  5. Step 5: Solve for x
    x = 278,250,255.60/17,693.20
  6. Step 6: Final answer
    x = 15,726.40

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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.