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Finding the Fourth Proportional to 22,274.10, 30,738.30 and 12,202.92

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Solution

The fourth proportional to 22,274.10, 30,738.30 and 12,202.92 is: 16,840.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.10 : 30,738.30 = 12,202.92 : x
  2. Step 2: Convert to fraction form
    22,274.10/30,738.30 = 12,202.92/x
  3. Step 3: Cross multiply
    22,274.10x = 30,738.30 × 12,202.92
  4. Step 4: Simplify right side
    22,274.10x = 375,097,015.84
  5. Step 5: Solve for x
    x = 375,097,015.84/22,274.10
  6. Step 6: Final answer
    x = 16,840.05

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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.