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Finding the Fourth Proportional to 13,666.86, 20,538.77 and 8,121.20

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Solution

The fourth proportional to 13,666.86, 20,538.77 and 8,121.20 is: 12,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.86 : 20,538.77 = 8,121.20 : x
  2. Step 2: Convert to fraction form
    13,666.86/20,538.77 = 8,121.20/x
  3. Step 3: Cross multiply
    13,666.86x = 20,538.77 × 8,121.20
  4. Step 4: Simplify right side
    13,666.86x = 166,799,315.62
  5. Step 5: Solve for x
    x = 166,799,315.62/13,666.86
  6. Step 6: Final answer
    x = 12,204.66

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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.