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Finding the Fourth Proportional to 13,539.79, 20,306.50 and 3,679.16

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Solution

The fourth proportional to 13,539.79, 20,306.50 and 3,679.16 is: 5,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.79 : 20,306.50 = 3,679.16 : x
  2. Step 2: Convert to fraction form
    13,539.79/20,306.50 = 3,679.16/x
  3. Step 3: Cross multiply
    13,539.79x = 20,306.50 × 3,679.16
  4. Step 4: Simplify right side
    13,539.79x = 74,710,751.81
  5. Step 5: Solve for x
    x = 74,710,751.81/13,539.79
  6. Step 6: Final answer
    x = 5,517.87

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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.