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Finding the Fourth Proportional to 12,235.20, 18,329.22 and 7,308.78

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Solution

The fourth proportional to 12,235.20, 18,329.22 and 7,308.78 is: 10,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.20 : 18,329.22 = 7,308.78 : x
  2. Step 2: Convert to fraction form
    12,235.20/18,329.22 = 7,308.78/x
  3. Step 3: Cross multiply
    12,235.20x = 18,329.22 × 7,308.78
  4. Step 4: Simplify right side
    12,235.20x = 133,964,236.55
  5. Step 5: Solve for x
    x = 133,964,236.55/12,235.20
  6. Step 6: Final answer
    x = 10,949.08

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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.