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Finding the Fourth Proportional to 12,205.65, 18,299.25 and 6,663.72

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Solution

The fourth proportional to 12,205.65, 18,299.25 and 6,663.72 is: 9,990.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.65 : 18,299.25 = 6,663.72 : x
  2. Step 2: Convert to fraction form
    12,205.65/18,299.25 = 6,663.72/x
  3. Step 3: Cross multiply
    12,205.65x = 18,299.25 × 6,663.72
  4. Step 4: Simplify right side
    12,205.65x = 121,941,078.21
  5. Step 5: Solve for x
    x = 121,941,078.21/12,205.65
  6. Step 6: Final answer
    x = 9,990.54

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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.