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Finding the Fourth Proportional to 22,229.84, 33,340.21 and 9,743.00

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Solution

The fourth proportional to 22,229.84, 33,340.21 and 9,743.00 is: 14,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,229.84 : 33,340.21 = 9,743.00 : x
  2. Step 2: Convert to fraction form
    22,229.84/33,340.21 = 9,743.00/x
  3. Step 3: Cross multiply
    22,229.84x = 33,340.21 × 9,743.00
  4. Step 4: Simplify right side
    22,229.84x = 324,833,474.97
  5. Step 5: Solve for x
    x = 324,833,474.97/22,229.84
  6. Step 6: Final answer
    x = 14,612.50

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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.