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Finding the Fourth Proportional to 13,399.74, 20,096.43 and 5,500.14

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Solution

The fourth proportional to 13,399.74, 20,096.43 and 5,500.14 is: 8,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,399.74 : 20,096.43 = 5,500.14 : x
  2. Step 2: Convert to fraction form
    13,399.74/20,096.43 = 5,500.14/x
  3. Step 3: Cross multiply
    13,399.74x = 20,096.43 × 5,500.14
  4. Step 4: Simplify right side
    13,399.74x = 110,533,178.50
  5. Step 5: Solve for x
    x = 110,533,178.50/13,399.74
  6. Step 6: Final answer
    x = 8,248.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.