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Finding the Fourth Proportional to 13,938.34, 20,909 and 4,077.68

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Solution

The fourth proportional to 13,938.34, 20,909 and 4,077.68 is: 6,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938.34 : 20,909 = 4,077.68 : x
  2. Step 2: Convert to fraction form
    13,938.34/20,909 = 4,077.68/x
  3. Step 3: Cross multiply
    13,938.34x = 20,909 × 4,077.68
  4. Step 4: Simplify right side
    13,938.34x = 85,260,211.12
  5. Step 5: Solve for x
    x = 85,260,211.12/13,938.34
  6. Step 6: Final answer
    x = 6,116.96

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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.