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Finding the Fourth Proportional to 13,539.86, 20,309.69 and 3,679.12

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Solution

The fourth proportional to 13,539.86, 20,309.69 and 3,679.12 is: 5,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.86 : 20,309.69 = 3,679.12 : x
  2. Step 2: Convert to fraction form
    13,539.86/20,309.69 = 3,679.12/x
  3. Step 3: Cross multiply
    13,539.86x = 20,309.69 × 3,679.12
  4. Step 4: Simplify right side
    13,539.86x = 74,721,800.56
  5. Step 5: Solve for x
    x = 74,721,800.56/13,539.86
  6. Step 6: Final answer
    x = 5,518.65

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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.