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Finding the Fourth Proportional to 17,824.59, 24,593.76 and 12,171.12

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Solution

The fourth proportional to 17,824.59, 24,593.76 and 12,171.12 is: 16,793.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.59 : 24,593.76 = 12,171.12 : x
  2. Step 2: Convert to fraction form
    17,824.59/24,593.76 = 12,171.12/x
  3. Step 3: Cross multiply
    17,824.59x = 24,593.76 × 12,171.12
  4. Step 4: Simplify right side
    17,824.59x = 299,333,604.21
  5. Step 5: Solve for x
    x = 299,333,604.21/17,824.59
  6. Step 6: Final answer
    x = 16,793.30

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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.