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Finding the Fourth Proportional to 12,266.27, 18,399.53 and 6,434.27

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Solution

The fourth proportional to 12,266.27, 18,399.53 and 6,434.27 is: 9,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.27 : 18,399.53 = 6,434.27 : x
  2. Step 2: Convert to fraction form
    12,266.27/18,399.53 = 6,434.27/x
  3. Step 3: Cross multiply
    12,266.27x = 18,399.53 × 6,434.27
  4. Step 4: Simplify right side
    12,266.27x = 118,387,543.89
  5. Step 5: Solve for x
    x = 118,387,543.89/12,266.27
  6. Step 6: Final answer
    x = 9,651.47

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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.