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Finding the Fourth Proportional to 22,424.52, 33,640.47 and 6,838.50

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Solution

The fourth proportional to 22,424.52, 33,640.47 and 6,838.50 is: 10,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.52 : 33,640.47 = 6,838.50 : x
  2. Step 2: Convert to fraction form
    22,424.52/33,640.47 = 6,838.50/x
  3. Step 3: Cross multiply
    22,424.52x = 33,640.47 × 6,838.50
  4. Step 4: Simplify right side
    22,424.52x = 230,050,354.10
  5. Step 5: Solve for x
    x = 230,050,354.10/22,424.52
  6. Step 6: Final answer
    x = 10,258.88

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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.