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Finding the Fourth Proportional to 12,209.34, 18,315.09 and 6,660.30

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Solution

The fourth proportional to 12,209.34, 18,315.09 and 6,660.30 is: 9,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.34 : 18,315.09 = 6,660.30 : x
  2. Step 2: Convert to fraction form
    12,209.34/18,315.09 = 6,660.30/x
  3. Step 3: Cross multiply
    12,209.34x = 18,315.09 × 6,660.30
  4. Step 4: Simplify right side
    12,209.34x = 121,983,993.93
  5. Step 5: Solve for x
    x = 121,983,993.93/12,209.34
  6. Step 6: Final answer
    x = 9,991.04

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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.