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Finding the Fourth Proportional to 22,965.31, 34,448.13 and 6,324.97

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Solution

The fourth proportional to 22,965.31, 34,448.13 and 6,324.97 is: 9,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.31 : 34,448.13 = 6,324.97 : x
  2. Step 2: Convert to fraction form
    22,965.31/34,448.13 = 6,324.97/x
  3. Step 3: Cross multiply
    22,965.31x = 34,448.13 × 6,324.97
  4. Step 4: Simplify right side
    22,965.31x = 217,883,388.81
  5. Step 5: Solve for x
    x = 217,883,388.81/22,965.31
  6. Step 6: Final answer
    x = 9,487.50

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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.