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Finding the Fourth Proportional to 14,633.72, 20,194.38 and 7,919.20

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Solution

The fourth proportional to 14,633.72, 20,194.38 and 7,919.20 is: 10,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633.72 : 20,194.38 = 7,919.20 : x
  2. Step 2: Convert to fraction form
    14,633.72/20,194.38 = 7,919.20/x
  3. Step 3: Cross multiply
    14,633.72x = 20,194.38 × 7,919.20
  4. Step 4: Simplify right side
    14,633.72x = 159,923,334.10
  5. Step 5: Solve for x
    x = 159,923,334.10/14,633.72
  6. Step 6: Final answer
    x = 10,928.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.