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Finding the Fourth Proportional to 12,109.50, 18,165.36 and 4,213.42

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Solution

The fourth proportional to 12,109.50, 18,165.36 and 4,213.42 is: 6,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.50 : 18,165.36 = 4,213.42 : x
  2. Step 2: Convert to fraction form
    12,109.50/18,165.36 = 4,213.42/x
  3. Step 3: Cross multiply
    12,109.50x = 18,165.36 × 4,213.42
  4. Step 4: Simplify right side
    12,109.50x = 76,538,261.52
  5. Step 5: Solve for x
    x = 76,538,261.52/12,109.50
  6. Step 6: Final answer
    x = 6,320.51

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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.