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Finding the Fourth Proportional to 12,431.14, 18,642.27 and 4,109.62

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Solution

The fourth proportional to 12,431.14, 18,642.27 and 4,109.62 is: 6,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.14 : 18,642.27 = 4,109.62 : x
  2. Step 2: Convert to fraction form
    12,431.14/18,642.27 = 4,109.62/x
  3. Step 3: Cross multiply
    12,431.14x = 18,642.27 × 4,109.62
  4. Step 4: Simplify right side
    12,431.14x = 76,612,645.64
  5. Step 5: Solve for x
    x = 76,612,645.64/12,431.14
  6. Step 6: Final answer
    x = 6,162.96

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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.