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Finding the Fourth Proportional to 22,639, 33,959.52 and 6,223

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Solution

The fourth proportional to 22,639, 33,959.52 and 6,223 is: 9,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,639 : 33,959.52 = 6,223 : x
  2. Step 2: Convert to fraction form
    22,639/33,959.52 = 6,223/x
  3. Step 3: Cross multiply
    22,639x = 33,959.52 × 6,223
  4. Step 4: Simplify right side
    22,639x = 211,330,092.96
  5. Step 5: Solve for x
    x = 211,330,092.96/22,639
  6. Step 6: Final answer
    x = 9,334.78

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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.