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Finding the Fourth Proportional to 22,765.32, 31,415.04 and 12,694.56

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Solution

The fourth proportional to 22,765.32, 31,415.04 and 12,694.56 is: 17,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.32 : 31,415.04 = 12,694.56 : x
  2. Step 2: Convert to fraction form
    22,765.32/31,415.04 = 12,694.56/x
  3. Step 3: Cross multiply
    22,765.32x = 31,415.04 × 12,694.56
  4. Step 4: Simplify right side
    22,765.32x = 398,800,110.18
  5. Step 5: Solve for x
    x = 398,800,110.18/22,765.32
  6. Step 6: Final answer
    x = 17,517.88

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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.