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Finding the Fourth Proportional to 19,920.94, 29,881.41 and 8,234.46

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Solution

The fourth proportional to 19,920.94, 29,881.41 and 8,234.46 is: 12,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920.94 : 29,881.41 = 8,234.46 : x
  2. Step 2: Convert to fraction form
    19,920.94/29,881.41 = 8,234.46/x
  3. Step 3: Cross multiply
    19,920.94x = 29,881.41 × 8,234.46
  4. Step 4: Simplify right side
    19,920.94x = 246,057,244.51
  5. Step 5: Solve for x
    x = 246,057,244.51/19,920.94
  6. Step 6: Final answer
    x = 12,351.69

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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.