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Finding the Fourth Proportional to 22,571.31, 33,862.43 and 6,776.31

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Solution

The fourth proportional to 22,571.31, 33,862.43 and 6,776.31 is: 10,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,571.31 : 33,862.43 = 6,776.31 : x
  2. Step 2: Convert to fraction form
    22,571.31/33,862.43 = 6,776.31/x
  3. Step 3: Cross multiply
    22,571.31x = 33,862.43 × 6,776.31
  4. Step 4: Simplify right side
    22,571.31x = 229,462,323.03
  5. Step 5: Solve for x
    x = 229,462,323.03/22,571.31
  6. Step 6: Final answer
    x = 10,166.11

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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.