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Finding the Fourth Proportional to 22,274.15, 30,737.61 and 12,202.34

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Solution

The fourth proportional to 22,274.15, 30,737.61 and 12,202.34 is: 16,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.15 : 30,737.61 = 12,202.34 : x
  2. Step 2: Convert to fraction form
    22,274.15/30,737.61 = 12,202.34/x
  3. Step 3: Cross multiply
    22,274.15x = 30,737.61 × 12,202.34
  4. Step 4: Simplify right side
    22,274.15x = 375,070,614.32
  5. Step 5: Solve for x
    x = 375,070,614.32/22,274.15
  6. Step 6: Final answer
    x = 16,838.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.