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Finding the Fourth Proportional to 16,390.96, 24,564.67 and 6,524.82

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Solution

The fourth proportional to 16,390.96, 24,564.67 and 6,524.82 is: 9,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,390.96 : 24,564.67 = 6,524.82 : x
  2. Step 2: Convert to fraction form
    16,390.96/24,564.67 = 6,524.82/x
  3. Step 3: Cross multiply
    16,390.96x = 24,564.67 × 6,524.82
  4. Step 4: Simplify right side
    16,390.96x = 160,280,033.80
  5. Step 5: Solve for x
    x = 160,280,033.80/16,390.96
  6. Step 6: Final answer
    x = 9,778.56

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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.