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Finding the Fourth Proportional to 13,408.30, 20,112.68 and 4,643.50

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Solution

The fourth proportional to 13,408.30, 20,112.68 and 4,643.50 is: 6,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.30 : 20,112.68 = 4,643.50 : x
  2. Step 2: Convert to fraction form
    13,408.30/20,112.68 = 4,643.50/x
  3. Step 3: Cross multiply
    13,408.30x = 20,112.68 × 4,643.50
  4. Step 4: Simplify right side
    13,408.30x = 93,393,229.58
  5. Step 5: Solve for x
    x = 93,393,229.58/13,408.30
  6. Step 6: Final answer
    x = 6,965.33

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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.