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Finding the Fourth Proportional to 16,197.80, 24,299.76 and 6,336.45

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Solution

The fourth proportional to 16,197.80, 24,299.76 and 6,336.45 is: 9,505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.80 : 24,299.76 = 6,336.45 : x
  2. Step 2: Convert to fraction form
    16,197.80/24,299.76 = 6,336.45/x
  3. Step 3: Cross multiply
    16,197.80x = 24,299.76 × 6,336.45
  4. Step 4: Simplify right side
    16,197.80x = 153,974,214.25
  5. Step 5: Solve for x
    x = 153,974,214.25/16,197.80
  6. Step 6: Final answer
    x = 9,505.87

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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.