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Finding the Fourth Proportional to 13,419.40, 20,114.70 and 5,096.20

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Solution

The fourth proportional to 13,419.40, 20,114.70 and 5,096.20 is: 7,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.40 : 20,114.70 = 5,096.20 : x
  2. Step 2: Convert to fraction form
    13,419.40/20,114.70 = 5,096.20/x
  3. Step 3: Cross multiply
    13,419.40x = 20,114.70 × 5,096.20
  4. Step 4: Simplify right side
    13,419.40x = 102,508,534.14
  5. Step 5: Solve for x
    x = 102,508,534.14/13,419.40
  6. Step 6: Final answer
    x = 7,638.83

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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.