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Finding the Fourth Proportional to 25,841.95, 38,738.32 and 8,299.48

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Solution

The fourth proportional to 25,841.95, 38,738.32 and 8,299.48 is: 12,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,841.95 : 38,738.32 = 8,299.48 : x
  2. Step 2: Convert to fraction form
    25,841.95/38,738.32 = 8,299.48/x
  3. Step 3: Cross multiply
    25,841.95x = 38,738.32 × 8,299.48
  4. Step 4: Simplify right side
    25,841.95x = 321,507,758.16
  5. Step 5: Solve for x
    x = 321,507,758.16/25,841.95
  6. Step 6: Final answer
    x = 12,441.31

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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.