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Finding the Fourth Proportional to 16,205.49, 24,306.18 and 6,351.69

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Solution

The fourth proportional to 16,205.49, 24,306.18 and 6,351.69 is: 9,526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.49 : 24,306.18 = 6,351.69 : x
  2. Step 2: Convert to fraction form
    16,205.49/24,306.18 = 6,351.69/x
  3. Step 3: Cross multiply
    16,205.49x = 24,306.18 × 6,351.69
  4. Step 4: Simplify right side
    16,205.49x = 154,385,320.44
  5. Step 5: Solve for x
    x = 154,385,320.44/16,205.49
  6. Step 6: Final answer
    x = 9,526.73

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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.