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Finding the Fourth Proportional to 22,965.54, 34,448.49 and 6,326.49

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Solution

The fourth proportional to 22,965.54, 34,448.49 and 6,326.49 is: 9,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.54 : 34,448.49 = 6,326.49 : x
  2. Step 2: Convert to fraction form
    22,965.54/34,448.49 = 6,326.49/x
  3. Step 3: Cross multiply
    22,965.54x = 34,448.49 × 6,326.49
  4. Step 4: Simplify right side
    22,965.54x = 217,938,027.50
  5. Step 5: Solve for x
    x = 217,938,027.50/22,965.54
  6. Step 6: Final answer
    x = 9,489.78

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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.