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Finding the Fourth Proportional to 25,879.78, 38,823.36 and 9,236.30

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Solution

The fourth proportional to 25,879.78, 38,823.36 and 9,236.30 is: 13,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,879.78 : 38,823.36 = 9,236.30 : x
  2. Step 2: Convert to fraction form
    25,879.78/38,823.36 = 9,236.30/x
  3. Step 3: Cross multiply
    25,879.78x = 38,823.36 × 9,236.30
  4. Step 4: Simplify right side
    25,879.78x = 358,584,297.03
  5. Step 5: Solve for x
    x = 358,584,297.03/25,879.78
  6. Step 6: Final answer
    x = 13,855.77

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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.