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Finding the Fourth Proportional to 25,849.90, 38,782.44 and 8,319.28

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Solution

The fourth proportional to 25,849.90, 38,782.44 and 8,319.28 is: 12,481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,849.90 : 38,782.44 = 8,319.28 : x
  2. Step 2: Convert to fraction form
    25,849.90/38,782.44 = 8,319.28/x
  3. Step 3: Cross multiply
    25,849.90x = 38,782.44 × 8,319.28
  4. Step 4: Simplify right side
    25,849.90x = 322,641,977.44
  5. Step 5: Solve for x
    x = 322,641,977.44/25,849.90
  6. Step 6: Final answer
    x = 12,481.36

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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.