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Finding the Fourth Proportional to 15,179.38, 20,946.27 and 8,464.48

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Solution

The fourth proportional to 15,179.38, 20,946.27 and 8,464.48 is: 11,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,179.38 : 20,946.27 = 8,464.48 : x
  2. Step 2: Convert to fraction form
    15,179.38/20,946.27 = 8,464.48/x
  3. Step 3: Cross multiply
    15,179.38x = 20,946.27 × 8,464.48
  4. Step 4: Simplify right side
    15,179.38x = 177,299,283.49
  5. Step 5: Solve for x
    x = 177,299,283.49/15,179.38
  6. Step 6: Final answer
    x = 11,680.27

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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.