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Finding the Fourth Proportional to 22,764.46, 31,414.44 and 12,693.88

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Solution

The fourth proportional to 22,764.46, 31,414.44 and 12,693.88 is: 17,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764.46 : 31,414.44 = 12,693.88 : x
  2. Step 2: Convert to fraction form
    22,764.46/31,414.44 = 12,693.88/x
  3. Step 3: Cross multiply
    22,764.46x = 31,414.44 × 12,693.88
  4. Step 4: Simplify right side
    22,764.46x = 398,771,131.63
  5. Step 5: Solve for x
    x = 398,771,131.63/22,764.46
  6. Step 6: Final answer
    x = 17,517.27

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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.