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Finding the Fourth Proportional to 19,731.17, 29,596.80 and 8,045.30

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Solution

The fourth proportional to 19,731.17, 29,596.80 and 8,045.30 is: 12,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731.17 : 29,596.80 = 8,045.30 : x
  2. Step 2: Convert to fraction form
    19,731.17/29,596.80 = 8,045.30/x
  3. Step 3: Cross multiply
    19,731.17x = 29,596.80 × 8,045.30
  4. Step 4: Simplify right side
    19,731.17x = 238,115,135.04
  5. Step 5: Solve for x
    x = 238,115,135.04/19,731.17
  6. Step 6: Final answer
    x = 12,067.97

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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.