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Finding the Fourth Proportional to 22,402.09, 33,601.92 and 6,818.50

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Solution

The fourth proportional to 22,402.09, 33,601.92 and 6,818.50 is: 10,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402.09 : 33,601.92 = 6,818.50 : x
  2. Step 2: Convert to fraction form
    22,402.09/33,601.92 = 6,818.50/x
  3. Step 3: Cross multiply
    22,402.09x = 33,601.92 × 6,818.50
  4. Step 4: Simplify right side
    22,402.09x = 229,114,691.52
  5. Step 5: Solve for x
    x = 229,114,691.52/22,402.09
  6. Step 6: Final answer
    x = 10,227.38

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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.