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Finding the Fourth Proportional to 21,405.97, 29,542.46 and 12,331.64

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Solution

The fourth proportional to 21,405.97, 29,542.46 and 12,331.64 is: 17,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.97 : 29,542.46 = 12,331.64 : x
  2. Step 2: Convert to fraction form
    21,405.97/29,542.46 = 12,331.64/x
  3. Step 3: Cross multiply
    21,405.97x = 29,542.46 × 12,331.64
  4. Step 4: Simplify right side
    21,405.97x = 364,306,919.78
  5. Step 5: Solve for x
    x = 364,306,919.78/21,405.97
  6. Step 6: Final answer
    x = 17,018.94

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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.