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Finding the Fourth Proportional to 12,762.38, 17,610.89 and 11,821.97

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Solution

The fourth proportional to 12,762.38, 17,610.89 and 11,821.97 is: 16,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.38 : 17,610.89 = 11,821.97 : x
  2. Step 2: Convert to fraction form
    12,762.38/17,610.89 = 11,821.97/x
  3. Step 3: Cross multiply
    12,762.38x = 17,610.89 × 11,821.97
  4. Step 4: Simplify right side
    12,762.38x = 208,195,398.17
  5. Step 5: Solve for x
    x = 208,195,398.17/12,762.38
  6. Step 6: Final answer
    x = 16,313.21

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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.