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Finding the Fourth Proportional to 19,872.27, 29,814.32 and 8,019.95

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Solution

The fourth proportional to 19,872.27, 29,814.32 and 8,019.95 is: 12,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872.27 : 29,814.32 = 8,019.95 : x
  2. Step 2: Convert to fraction form
    19,872.27/29,814.32 = 8,019.95/x
  3. Step 3: Cross multiply
    19,872.27x = 29,814.32 × 8,019.95
  4. Step 4: Simplify right side
    19,872.27x = 239,109,226.66
  5. Step 5: Solve for x
    x = 239,109,226.66/19,872.27
  6. Step 6: Final answer
    x = 12,032.31

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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.