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Finding the Fourth Proportional to 12,491.14, 18,727.47 and 5,909.62

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Solution

The fourth proportional to 12,491.14, 18,727.47 and 5,909.62 is: 8,860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.14 : 18,727.47 = 5,909.62 : x
  2. Step 2: Convert to fraction form
    12,491.14/18,727.47 = 5,909.62/x
  3. Step 3: Cross multiply
    12,491.14x = 18,727.47 × 5,909.62
  4. Step 4: Simplify right side
    12,491.14x = 110,672,231.26
  5. Step 5: Solve for x
    x = 110,672,231.26/12,491.14
  6. Step 6: Final answer
    x = 8,860.06

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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.