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Finding the Fourth Proportional to 13,600.80, 20,409 and 6,103.48

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Solution

The fourth proportional to 13,600.80, 20,409 and 6,103.48 is: 9,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.80 : 20,409 = 6,103.48 : x
  2. Step 2: Convert to fraction form
    13,600.80/20,409 = 6,103.48/x
  3. Step 3: Cross multiply
    13,600.80x = 20,409 × 6,103.48
  4. Step 4: Simplify right side
    13,600.80x = 124,565,923.32
  5. Step 5: Solve for x
    x = 124,565,923.32/13,600.80
  6. Step 6: Final answer
    x = 9,158.72

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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.