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Finding the Fourth Proportional to 22,321.50, 33,470.40 and 9,827.04

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Solution

The fourth proportional to 22,321.50, 33,470.40 and 9,827.04 is: 14,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321.50 : 33,470.40 = 9,827.04 : x
  2. Step 2: Convert to fraction form
    22,321.50/33,470.40 = 9,827.04/x
  3. Step 3: Cross multiply
    22,321.50x = 33,470.40 × 9,827.04
  4. Step 4: Simplify right side
    22,321.50x = 328,914,959.62
  5. Step 5: Solve for x
    x = 328,914,959.62/22,321.50
  6. Step 6: Final answer
    x = 14,735.34

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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.