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Finding the Fourth Proportional to 12,205.65, 18,308.48 and 7,280.85

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Solution

The fourth proportional to 12,205.65, 18,308.48 and 7,280.85 is: 10,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.65 : 18,308.48 = 7,280.85 : x
  2. Step 2: Convert to fraction form
    12,205.65/18,308.48 = 7,280.85/x
  3. Step 3: Cross multiply
    12,205.65x = 18,308.48 × 7,280.85
  4. Step 4: Simplify right side
    12,205.65x = 133,301,260.20
  5. Step 5: Solve for x
    x = 133,301,260.20/12,205.65
  6. Step 6: Final answer
    x = 10,921.28

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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.