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Finding the Fourth Proportional to 16,202.56, 24,302.58 and 6,344.08

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Solution

The fourth proportional to 16,202.56, 24,302.58 and 6,344.08 is: 9,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.56 : 24,302.58 = 6,344.08 : x
  2. Step 2: Convert to fraction form
    16,202.56/24,302.58 = 6,344.08/x
  3. Step 3: Cross multiply
    16,202.56x = 24,302.58 × 6,344.08
  4. Step 4: Simplify right side
    16,202.56x = 154,177,511.73
  5. Step 5: Solve for x
    x = 154,177,511.73/16,202.56
  6. Step 6: Final answer
    x = 9,515.63

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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.