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Finding the Fourth Proportional to 13,666.96, 20,494.02 and 8,121.04

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Solution

The fourth proportional to 13,666.96, 20,494.02 and 8,121.04 is: 12,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.96 : 20,494.02 = 8,121.04 : x
  2. Step 2: Convert to fraction form
    13,666.96/20,494.02 = 8,121.04/x
  3. Step 3: Cross multiply
    13,666.96x = 20,494.02 × 8,121.04
  4. Step 4: Simplify right side
    13,666.96x = 166,432,756.18
  5. Step 5: Solve for x
    x = 166,432,756.18/13,666.96
  6. Step 6: Final answer
    x = 12,177.75

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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.