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Finding the Fourth Proportional to 22,277.20, 30,742.20 and 12,205.60

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Solution

The fourth proportional to 22,277.20, 30,742.20 and 12,205.60 is: 16,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,277.20 : 30,742.20 = 12,205.60 : x
  2. Step 2: Convert to fraction form
    22,277.20/30,742.20 = 12,205.60/x
  3. Step 3: Cross multiply
    22,277.20x = 30,742.20 × 12,205.60
  4. Step 4: Simplify right side
    22,277.20x = 375,226,996.32
  5. Step 5: Solve for x
    x = 375,226,996.32/22,277.20
  6. Step 6: Final answer
    x = 16,843.54

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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.