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Finding the Fourth Proportional to 12,693.38, 17,512.81 and 8,220.56

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Solution

The fourth proportional to 12,693.38, 17,512.81 and 8,220.56 is: 11,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693.38 : 17,512.81 = 8,220.56 : x
  2. Step 2: Convert to fraction form
    12,693.38/17,512.81 = 8,220.56/x
  3. Step 3: Cross multiply
    12,693.38x = 17,512.81 × 8,220.56
  4. Step 4: Simplify right side
    12,693.38x = 143,964,997.26
  5. Step 5: Solve for x
    x = 143,964,997.26/12,693.38
  6. Step 6: Final answer
    x = 11,341.74

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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.