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Finding the Fourth Proportional to 14,542.70, 20,067.81 and 8,167.26

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Solution

The fourth proportional to 14,542.70, 20,067.81 and 8,167.26 is: 11,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.70 : 20,067.81 = 8,167.26 : x
  2. Step 2: Convert to fraction form
    14,542.70/20,067.81 = 8,167.26/x
  3. Step 3: Cross multiply
    14,542.70x = 20,067.81 × 8,167.26
  4. Step 4: Simplify right side
    14,542.70x = 163,898,916.02
  5. Step 5: Solve for x
    x = 163,898,916.02/14,542.70
  6. Step 6: Final answer
    x = 11,270.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.