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Finding the Fourth Proportional to 16,540.50, 24,794.34 and 9,148.44

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Solution

The fourth proportional to 16,540.50, 24,794.34 and 9,148.44 is: 13,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.50 : 24,794.34 = 9,148.44 : x
  2. Step 2: Convert to fraction form
    16,540.50/24,794.34 = 9,148.44/x
  3. Step 3: Cross multiply
    16,540.50x = 24,794.34 × 9,148.44
  4. Step 4: Simplify right side
    16,540.50x = 226,829,531.83
  5. Step 5: Solve for x
    x = 226,829,531.83/16,540.50
  6. Step 6: Final answer
    x = 13,713.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.