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Finding the Fourth Proportional to 19,753.14, 29,629.74 and 8,066.36

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Solution

The fourth proportional to 19,753.14, 29,629.74 and 8,066.36 is: 12,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,753.14 : 29,629.74 = 8,066.36 : x
  2. Step 2: Convert to fraction form
    19,753.14/29,629.74 = 8,066.36/x
  3. Step 3: Cross multiply
    19,753.14x = 29,629.74 × 8,066.36
  4. Step 4: Simplify right side
    19,753.14x = 239,004,253.87
  5. Step 5: Solve for x
    x = 239,004,253.87/19,753.14
  6. Step 6: Final answer
    x = 12,099.56

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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.