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Finding the Fourth Proportional to 16,202.12, 24,305.20 and 6,340.12

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Solution

The fourth proportional to 16,202.12, 24,305.20 and 6,340.12 is: 9,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.12 : 24,305.20 = 6,340.12 : x
  2. Step 2: Convert to fraction form
    16,202.12/24,305.20 = 6,340.12/x
  3. Step 3: Cross multiply
    16,202.12x = 24,305.20 × 6,340.12
  4. Step 4: Simplify right side
    16,202.12x = 154,097,808.01
  5. Step 5: Solve for x
    x = 154,097,808.01/16,202.12
  6. Step 6: Final answer
    x = 9,510.97

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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.