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Finding the Fourth Proportional to 22,397.68, 33,596.66 and 6,815.28

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Solution

The fourth proportional to 22,397.68, 33,596.66 and 6,815.28 is: 10,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,397.68 : 33,596.66 = 6,815.28 : x
  2. Step 2: Convert to fraction form
    22,397.68/33,596.66 = 6,815.28/x
  3. Step 3: Cross multiply
    22,397.68x = 33,596.66 × 6,815.28
  4. Step 4: Simplify right side
    22,397.68x = 228,970,644.96
  5. Step 5: Solve for x
    x = 228,970,644.96/22,397.68
  6. Step 6: Final answer
    x = 10,222.96

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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.