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Finding the Fourth Proportional to 22,885, 31,577.12 and 12,813.60

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Solution

The fourth proportional to 22,885, 31,577.12 and 12,813.60 is: 17,680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,885 : 31,577.12 = 12,813.60 : x
  2. Step 2: Convert to fraction form
    22,885/31,577.12 = 12,813.60/x
  3. Step 3: Cross multiply
    22,885x = 31,577.12 × 12,813.60
  4. Step 4: Simplify right side
    22,885x = 404,616,584.83
  5. Step 5: Solve for x
    x = 404,616,584.83/22,885
  6. Step 6: Final answer
    x = 17,680.43

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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.