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Finding the Fourth Proportional to 13,539.65, 20,311.40 and 4,180.43

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Solution

The fourth proportional to 13,539.65, 20,311.40 and 4,180.43 is: 6,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.65 : 20,311.40 = 4,180.43 : x
  2. Step 2: Convert to fraction form
    13,539.65/20,311.40 = 4,180.43/x
  3. Step 3: Cross multiply
    13,539.65x = 20,311.40 × 4,180.43
  4. Step 4: Simplify right side
    13,539.65x = 84,910,447.13
  5. Step 5: Solve for x
    x = 84,910,447.13/13,539.65
  6. Step 6: Final answer
    x = 6,271.25

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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.