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Finding the Fourth Proportional to 13,793.40, 20,678.40 and 5,023.20

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Solution

The fourth proportional to 13,793.40, 20,678.40 and 5,023.20 is: 7,530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.40 : 20,678.40 = 5,023.20 : x
  2. Step 2: Convert to fraction form
    13,793.40/20,678.40 = 5,023.20/x
  3. Step 3: Cross multiply
    13,793.40x = 20,678.40 × 5,023.20
  4. Step 4: Simplify right side
    13,793.40x = 103,871,738.88
  5. Step 5: Solve for x
    x = 103,871,738.88/13,793.40
  6. Step 6: Final answer
    x = 7,530.54

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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.