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Finding the Fourth Proportional to 19,891.39, 29,797.12 and 9,202.77

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Solution

The fourth proportional to 19,891.39, 29,797.12 and 9,202.77 is: 13,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.39 : 29,797.12 = 9,202.77 : x
  2. Step 2: Convert to fraction form
    19,891.39/29,797.12 = 9,202.77/x
  3. Step 3: Cross multiply
    19,891.39x = 29,797.12 × 9,202.77
  4. Step 4: Simplify right side
    19,891.39x = 274,215,847.02
  5. Step 5: Solve for x
    x = 274,215,847.02/19,891.39
  6. Step 6: Final answer
    x = 13,785.66

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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.