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Finding the Fourth Proportional to 13,720.83, 20,608.80 and 8,184.98

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Solution

The fourth proportional to 13,720.83, 20,608.80 and 8,184.98 is: 12,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.83 : 20,608.80 = 8,184.98 : x
  2. Step 2: Convert to fraction form
    13,720.83/20,608.80 = 8,184.98/x
  3. Step 3: Cross multiply
    13,720.83x = 20,608.80 × 8,184.98
  4. Step 4: Simplify right side
    13,720.83x = 168,682,512.78
  5. Step 5: Solve for x
    x = 168,682,512.78/13,720.83
  6. Step 6: Final answer
    x = 12,293.90

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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.