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Finding the Fourth Proportional to 12,427.32, 17,149.10 and 6,838.20

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Solution

The fourth proportional to 12,427.32, 17,149.10 and 6,838.20 is: 9,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.32 : 17,149.10 = 6,838.20 : x
  2. Step 2: Convert to fraction form
    12,427.32/17,149.10 = 6,838.20/x
  3. Step 3: Cross multiply
    12,427.32x = 17,149.10 × 6,838.20
  4. Step 4: Simplify right side
    12,427.32x = 117,268,975.62
  5. Step 5: Solve for x
    x = 117,268,975.62/12,427.32
  6. Step 6: Final answer
    x = 9,436.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.