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Finding the Fourth Proportional to 22,847.41, 31,518.21 and 13,891.78

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Solution

The fourth proportional to 22,847.41, 31,518.21 and 13,891.78 is: 19,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,847.41 : 31,518.21 = 13,891.78 : x
  2. Step 2: Convert to fraction form
    22,847.41/31,518.21 = 13,891.78/x
  3. Step 3: Cross multiply
    22,847.41x = 31,518.21 × 13,891.78
  4. Step 4: Simplify right side
    22,847.41x = 437,844,039.31
  5. Step 5: Solve for x
    x = 437,844,039.31/22,847.41
  6. Step 6: Final answer
    x = 19,163.84

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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.