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Finding the Fourth Proportional to 19,530.82, 29,290.24 and 7,049.31

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Solution

The fourth proportional to 19,530.82, 29,290.24 and 7,049.31 is: 10,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,530.82 : 29,290.24 = 7,049.31 : x
  2. Step 2: Convert to fraction form
    19,530.82/29,290.24 = 7,049.31/x
  3. Step 3: Cross multiply
    19,530.82x = 29,290.24 × 7,049.31
  4. Step 4: Simplify right side
    19,530.82x = 206,475,981.73
  5. Step 5: Solve for x
    x = 206,475,981.73/19,530.82
  6. Step 6: Final answer
    x = 10,571.80

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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.