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Finding the Fourth Proportional to 25,632.60, 38,454.44 and 7,863.24

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Solution

The fourth proportional to 25,632.60, 38,454.44 and 7,863.24 is: 11,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,632.60 : 38,454.44 = 7,863.24 : x
  2. Step 2: Convert to fraction form
    25,632.60/38,454.44 = 7,863.24/x
  3. Step 3: Cross multiply
    25,632.60x = 38,454.44 × 7,863.24
  4. Step 4: Simplify right side
    25,632.60x = 302,376,490.79
  5. Step 5: Solve for x
    x = 302,376,490.79/25,632.60
  6. Step 6: Final answer
    x = 11,796.56

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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.