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Finding the Fourth Proportional to 19,819.06, 29,732.97 and 6,671

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Solution

The fourth proportional to 19,819.06, 29,732.97 and 6,671 is: 10,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.06 : 29,732.97 = 6,671 : x
  2. Step 2: Convert to fraction form
    19,819.06/29,732.97 = 6,671/x
  3. Step 3: Cross multiply
    19,819.06x = 29,732.97 × 6,671
  4. Step 4: Simplify right side
    19,819.06x = 198,348,642.87
  5. Step 5: Solve for x
    x = 198,348,642.87/19,819.06
  6. Step 6: Final answer
    x = 10,007.97

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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.