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Finding the Fourth Proportional to 17,478.40, 24,114.24 and 11,194.56

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Solution

The fourth proportional to 17,478.40, 24,114.24 and 11,194.56 is: 15,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.40 : 24,114.24 = 11,194.56 : x
  2. Step 2: Convert to fraction form
    17,478.40/24,114.24 = 11,194.56/x
  3. Step 3: Cross multiply
    17,478.40x = 24,114.24 × 11,194.56
  4. Step 4: Simplify right side
    17,478.40x = 269,948,306.53
  5. Step 5: Solve for x
    x = 269,948,306.53/17,478.40
  6. Step 6: Final answer
    x = 15,444.68

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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.