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Finding the Fourth Proportional to 14,801.20, 22,194 and 5,438.80

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Solution

The fourth proportional to 14,801.20, 22,194 and 5,438.80 is: 8,155.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801.20 : 22,194 = 5,438.80 : x
  2. Step 2: Convert to fraction form
    14,801.20/22,194 = 5,438.80/x
  3. Step 3: Cross multiply
    14,801.20x = 22,194 × 5,438.80
  4. Step 4: Simplify right side
    14,801.20x = 120,708,727.20
  5. Step 5: Solve for x
    x = 120,708,727.20/14,801.20
  6. Step 6: Final answer
    x = 8,155.33

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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.