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Finding the Fourth Proportional to 13,589.83, 20,390.19 and 6,197.77

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Solution

The fourth proportional to 13,589.83, 20,390.19 and 6,197.77 is: 9,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.83 : 20,390.19 = 6,197.77 : x
  2. Step 2: Convert to fraction form
    13,589.83/20,390.19 = 6,197.77/x
  3. Step 3: Cross multiply
    13,589.83x = 20,390.19 × 6,197.77
  4. Step 4: Simplify right side
    13,589.83x = 126,373,707.88
  5. Step 5: Solve for x
    x = 126,373,707.88/13,589.83
  6. Step 6: Final answer
    x = 9,299.14

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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.