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Finding the Fourth Proportional to 22,274.32, 30,737.40 and 12,200.90

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Solution

The fourth proportional to 22,274.32, 30,737.40 and 12,200.90 is: 16,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.32 : 30,737.40 = 12,200.90 : x
  2. Step 2: Convert to fraction form
    22,274.32/30,737.40 = 12,200.90/x
  3. Step 3: Cross multiply
    22,274.32x = 30,737.40 × 12,200.90
  4. Step 4: Simplify right side
    22,274.32x = 375,023,943.66
  5. Step 5: Solve for x
    x = 375,023,943.66/22,274.32
  6. Step 6: Final answer
    x = 16,836.61

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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.