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Finding the Fourth Proportional to 21,474, 29,634.12 and 12,042.36

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Solution

The fourth proportional to 21,474, 29,634.12 and 12,042.36 is: 16,618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,474 : 29,634.12 = 12,042.36 : x
  2. Step 2: Convert to fraction form
    21,474/29,634.12 = 12,042.36/x
  3. Step 3: Cross multiply
    21,474x = 29,634.12 × 12,042.36
  4. Step 4: Simplify right side
    21,474x = 356,864,741.32
  5. Step 5: Solve for x
    x = 356,864,741.32/21,474
  6. Step 6: Final answer
    x = 16,618.46

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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.