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Finding the Fourth Proportional to 25,422.60, 38,141.10 and 7,894.20

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Solution

The fourth proportional to 25,422.60, 38,141.10 and 7,894.20 is: 11,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,422.60 : 38,141.10 = 7,894.20 : x
  2. Step 2: Convert to fraction form
    25,422.60/38,141.10 = 7,894.20/x
  3. Step 3: Cross multiply
    25,422.60x = 38,141.10 × 7,894.20
  4. Step 4: Simplify right side
    25,422.60x = 301,093,471.62
  5. Step 5: Solve for x
    x = 301,093,471.62/25,422.60
  6. Step 6: Final answer
    x = 11,843.54

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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.