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Finding the Fourth Proportional to 13,871.57, 20,814.17 and 8,605.22

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Solution

The fourth proportional to 13,871.57, 20,814.17 and 8,605.22 is: 12,912.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.57 : 20,814.17 = 8,605.22 : x
  2. Step 2: Convert to fraction form
    13,871.57/20,814.17 = 8,605.22/x
  3. Step 3: Cross multiply
    13,871.57x = 20,814.17 × 8,605.22
  4. Step 4: Simplify right side
    13,871.57x = 179,110,364.87
  5. Step 5: Solve for x
    x = 179,110,364.87/13,871.57
  6. Step 6: Final answer
    x = 12,912.05

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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.