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Finding the Fourth Proportional to 13,179.50, 19,767 and 4,414.40

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Solution

The fourth proportional to 13,179.50, 19,767 and 4,414.40 is: 6,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,179.50 : 19,767 = 4,414.40 : x
  2. Step 2: Convert to fraction form
    13,179.50/19,767 = 4,414.40/x
  3. Step 3: Cross multiply
    13,179.50x = 19,767 × 4,414.40
  4. Step 4: Simplify right side
    13,179.50x = 87,259,444.80
  5. Step 5: Solve for x
    x = 87,259,444.80/13,179.50
  6. Step 6: Final answer
    x = 6,620.85

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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.