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Finding the Fourth Proportional to 19,537.83, 29,317.68 and 7,859.25

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Solution

The fourth proportional to 19,537.83, 29,317.68 and 7,859.25 is: 11,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.83 : 29,317.68 = 7,859.25 : x
  2. Step 2: Convert to fraction form
    19,537.83/29,317.68 = 7,859.25/x
  3. Step 3: Cross multiply
    19,537.83x = 29,317.68 × 7,859.25
  4. Step 4: Simplify right side
    19,537.83x = 230,414,976.54
  5. Step 5: Solve for x
    x = 230,414,976.54/19,537.83
  6. Step 6: Final answer
    x = 11,793.27

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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.