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Finding the Fourth Proportional to 12,138.32, 18,208.12 and 6,949.20

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Solution

The fourth proportional to 12,138.32, 18,208.12 and 6,949.20 is: 10,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.32 : 18,208.12 = 6,949.20 : x
  2. Step 2: Convert to fraction form
    12,138.32/18,208.12 = 6,949.20/x
  3. Step 3: Cross multiply
    12,138.32x = 18,208.12 × 6,949.20
  4. Step 4: Simplify right side
    12,138.32x = 126,531,867.50
  5. Step 5: Solve for x
    x = 126,531,867.50/12,138.32
  6. Step 6: Final answer
    x = 10,424.17

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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.