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Finding the Fourth Proportional to 12,305.38, 18,449.12 and 4,907.62

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Solution

The fourth proportional to 12,305.38, 18,449.12 and 4,907.62 is: 7,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.38 : 18,449.12 = 4,907.62 : x
  2. Step 2: Convert to fraction form
    12,305.38/18,449.12 = 4,907.62/x
  3. Step 3: Cross multiply
    12,305.38x = 18,449.12 × 4,907.62
  4. Step 4: Simplify right side
    12,305.38x = 90,541,270.29
  5. Step 5: Solve for x
    x = 90,541,270.29/12,305.38
  6. Step 6: Final answer
    x = 7,357.86

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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.