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Finding the Fourth Proportional to 19,634.69, 29,453.85 and 7,948.82

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Solution

The fourth proportional to 19,634.69, 29,453.85 and 7,948.82 is: 11,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634.69 : 29,453.85 = 7,948.82 : x
  2. Step 2: Convert to fraction form
    19,634.69/29,453.85 = 7,948.82/x
  3. Step 3: Cross multiply
    19,634.69x = 29,453.85 × 7,948.82
  4. Step 4: Simplify right side
    19,634.69x = 234,123,204.69
  5. Step 5: Solve for x
    x = 234,123,204.69/19,634.69
  6. Step 6: Final answer
    x = 11,923.96

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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.