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Finding the Fourth Proportional to 22,271.86, 30,734.74 and 12,200.27

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Solution

The fourth proportional to 22,271.86, 30,734.74 and 12,200.27 is: 16,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.86 : 30,734.74 = 12,200.27 : x
  2. Step 2: Convert to fraction form
    22,271.86/30,734.74 = 12,200.27/x
  3. Step 3: Cross multiply
    22,271.86x = 30,734.74 × 12,200.27
  4. Step 4: Simplify right side
    22,271.86x = 374,972,160.84
  5. Step 5: Solve for x
    x = 374,972,160.84/22,271.86
  6. Step 6: Final answer
    x = 16,836.14

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