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Finding the Fourth Proportional to 19,694.94, 29,516.90 and 8,001.78

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Solution

The fourth proportional to 19,694.94, 29,516.90 and 8,001.78 is: 11,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.94 : 29,516.90 = 8,001.78 : x
  2. Step 2: Convert to fraction form
    19,694.94/29,516.90 = 8,001.78/x
  3. Step 3: Cross multiply
    19,694.94x = 29,516.90 × 8,001.78
  4. Step 4: Simplify right side
    19,694.94x = 236,187,700.07
  5. Step 5: Solve for x
    x = 236,187,700.07/19,694.94
  6. Step 6: Final answer
    x = 11,992.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.