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Finding the Fourth Proportional to 22,969.94, 34,456.80 and 9,822.43

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Solution

The fourth proportional to 22,969.94, 34,456.80 and 9,822.43 is: 14,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.94 : 34,456.80 = 9,822.43 : x
  2. Step 2: Convert to fraction form
    22,969.94/34,456.80 = 9,822.43/x
  3. Step 3: Cross multiply
    22,969.94x = 34,456.80 × 9,822.43
  4. Step 4: Simplify right side
    22,969.94x = 338,449,333.74
  5. Step 5: Solve for x
    x = 338,449,333.74/22,969.94
  6. Step 6: Final answer
    x = 14,734.45

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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.