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Finding the Fourth Proportional to 12,811.67, 19,217.66 and 6,232.24

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Solution

The fourth proportional to 12,811.67, 19,217.66 and 6,232.24 is: 9,348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.67 : 19,217.66 = 6,232.24 : x
  2. Step 2: Convert to fraction form
    12,811.67/19,217.66 = 6,232.24/x
  3. Step 3: Cross multiply
    12,811.67x = 19,217.66 × 6,232.24
  4. Step 4: Simplify right side
    12,811.67x = 119,769,062.22
  5. Step 5: Solve for x
    x = 119,769,062.22/12,811.67
  6. Step 6: Final answer
    x = 9,348.44

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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.