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Finding the Fourth Proportional to 22,563.64, 31,138.97 and 12,493.19

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Solution

The fourth proportional to 22,563.64, 31,138.97 and 12,493.19 is: 17,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.64 : 31,138.97 = 12,493.19 : x
  2. Step 2: Convert to fraction form
    22,563.64/31,138.97 = 12,493.19/x
  3. Step 3: Cross multiply
    22,563.64x = 31,138.97 × 12,493.19
  4. Step 4: Simplify right side
    22,563.64x = 389,024,961.54
  5. Step 5: Solve for x
    x = 389,024,961.54/22,563.64
  6. Step 6: Final answer
    x = 17,241.23

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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.