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Finding the Fourth Proportional to 19,346.81, 29,022.57 and 7,500.78

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Solution

The fourth proportional to 19,346.81, 29,022.57 and 7,500.78 is: 11,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,346.81 : 29,022.57 = 7,500.78 : x
  2. Step 2: Convert to fraction form
    19,346.81/29,022.57 = 7,500.78/x
  3. Step 3: Cross multiply
    19,346.81x = 29,022.57 × 7,500.78
  4. Step 4: Simplify right side
    19,346.81x = 217,691,912.60
  5. Step 5: Solve for x
    x = 217,691,912.60/19,346.81
  6. Step 6: Final answer
    x = 11,252.09

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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.