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Finding the Fourth Proportional to 17,540.80, 24,165.12 and 12,225.92

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Solution

The fourth proportional to 17,540.80, 24,165.12 and 12,225.92 is: 16,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.80 : 24,165.12 = 12,225.92 : x
  2. Step 2: Convert to fraction form
    17,540.80/24,165.12 = 12,225.92/x
  3. Step 3: Cross multiply
    17,540.80x = 24,165.12 × 12,225.92
  4. Step 4: Simplify right side
    17,540.80x = 295,440,823.91
  5. Step 5: Solve for x
    x = 295,440,823.91/17,540.80
  6. Step 6: Final answer
    x = 16,843.06

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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.