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Finding the Fourth Proportional to 19,530.48, 29,297.09 and 7,843.70

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Solution

The fourth proportional to 19,530.48, 29,297.09 and 7,843.70 is: 11,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,530.48 : 29,297.09 = 7,843.70 : x
  2. Step 2: Convert to fraction form
    19,530.48/29,297.09 = 7,843.70/x
  3. Step 3: Cross multiply
    19,530.48x = 29,297.09 × 7,843.70
  4. Step 4: Simplify right side
    19,530.48x = 229,797,584.83
  5. Step 5: Solve for x
    x = 229,797,584.83/19,530.48
  6. Step 6: Final answer
    x = 11,766.10

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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.