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Finding the Fourth Proportional to 16,543.18, 24,794.25 and 7,759.64

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Solution

The fourth proportional to 16,543.18, 24,794.25 and 7,759.64 is: 11,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.18 : 24,794.25 = 7,759.64 : x
  2. Step 2: Convert to fraction form
    16,543.18/24,794.25 = 7,759.64/x
  3. Step 3: Cross multiply
    16,543.18x = 24,794.25 × 7,759.64
  4. Step 4: Simplify right side
    16,543.18x = 192,394,330.10
  5. Step 5: Solve for x
    x = 192,394,330.10/16,543.18
  6. Step 6: Final answer
    x = 11,629.83

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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.