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Finding the Fourth Proportional to 12,266.96, 18,387.60 and 5,687.72

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Solution

The fourth proportional to 12,266.96, 18,387.60 and 5,687.72 is: 8,525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.96 : 18,387.60 = 5,687.72 : x
  2. Step 2: Convert to fraction form
    12,266.96/18,387.60 = 5,687.72/x
  3. Step 3: Cross multiply
    12,266.96x = 18,387.60 × 5,687.72
  4. Step 4: Simplify right side
    12,266.96x = 104,583,520.27
  5. Step 5: Solve for x
    x = 104,583,520.27/12,266.96
  6. Step 6: Final answer
    x = 8,525.63

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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.