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Finding the Fourth Proportional to 25,796.38, 38,695.42 and 8,263.92

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Solution

The fourth proportional to 25,796.38, 38,695.42 and 8,263.92 is: 12,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,796.38 : 38,695.42 = 8,263.92 : x
  2. Step 2: Convert to fraction form
    25,796.38/38,695.42 = 8,263.92/x
  3. Step 3: Cross multiply
    25,796.38x = 38,695.42 × 8,263.92
  4. Step 4: Simplify right side
    25,796.38x = 319,775,855.25
  5. Step 5: Solve for x
    x = 319,775,855.25/25,796.38
  6. Step 6: Final answer
    x = 12,396.15

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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.