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Finding the Fourth Proportional to 22,271.47, 30,734.64 and 12,200.27

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Solution

The fourth proportional to 22,271.47, 30,734.64 and 12,200.27 is: 16,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.47 : 30,734.64 = 12,200.27 : x
  2. Step 2: Convert to fraction form
    22,271.47/30,734.64 = 12,200.27/x
  3. Step 3: Cross multiply
    22,271.47x = 30,734.64 × 12,200.27
  4. Step 4: Simplify right side
    22,271.47x = 374,971,029.38
  5. Step 5: Solve for x
    x = 374,971,029.38/22,271.47
  6. Step 6: Final answer
    x = 16,836.38

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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.