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Finding the Fourth Proportional to 19,819.13, 29,728.69 and 5,968.13

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Solution

The fourth proportional to 19,819.13, 29,728.69 and 5,968.13 is: 8,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.13 : 29,728.69 = 5,968.13 : x
  2. Step 2: Convert to fraction form
    19,819.13/29,728.69 = 5,968.13/x
  3. Step 3: Cross multiply
    19,819.13x = 29,728.69 × 5,968.13
  4. Step 4: Simplify right side
    19,819.13x = 177,424,523.09
  5. Step 5: Solve for x
    x = 177,424,523.09/19,819.13
  6. Step 6: Final answer
    x = 8,952.19

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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.