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Finding the Fourth Proportional to 20,297.95, 30,446.24 and 9,196.88

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Solution

The fourth proportional to 20,297.95, 30,446.24 and 9,196.88 is: 13,795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.95 : 30,446.24 = 9,196.88 : x
  2. Step 2: Convert to fraction form
    20,297.95/30,446.24 = 9,196.88/x
  3. Step 3: Cross multiply
    20,297.95x = 30,446.24 × 9,196.88
  4. Step 4: Simplify right side
    20,297.95x = 280,010,415.73
  5. Step 5: Solve for x
    x = 280,010,415.73/20,297.95
  6. Step 6: Final answer
    x = 13,795.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.