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Finding the Fourth Proportional to 29,286.46, 40,415.34 and 15,857.73

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Solution

The fourth proportional to 29,286.46, 40,415.34 and 15,857.73 is: 21,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,286.46 : 40,415.34 = 15,857.73 : x
  2. Step 2: Convert to fraction form
    29,286.46/40,415.34 = 15,857.73/x
  3. Step 3: Cross multiply
    29,286.46x = 40,415.34 × 15,857.73
  4. Step 4: Simplify right side
    29,286.46x = 640,895,549.58
  5. Step 5: Solve for x
    x = 640,895,549.58/29,286.46
  6. Step 6: Final answer
    x = 21,883.68

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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.