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Finding the Fourth Proportional to 22,596.65, 33,897 and 5,956.46

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Solution

The fourth proportional to 22,596.65, 33,897 and 5,956.46 is: 8,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.65 : 33,897 = 5,956.46 : x
  2. Step 2: Convert to fraction form
    22,596.65/33,897 = 5,956.46/x
  3. Step 3: Cross multiply
    22,596.65x = 33,897 × 5,956.46
  4. Step 4: Simplify right side
    22,596.65x = 201,906,124.62
  5. Step 5: Solve for x
    x = 201,906,124.62/22,596.65
  6. Step 6: Final answer
    x = 8,935.22

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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.