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Finding the Fourth Proportional to 20,859.24, 31,297.50 and 8,388.10

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Solution

The fourth proportional to 20,859.24, 31,297.50 and 8,388.10 is: 12,585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859.24 : 31,297.50 = 8,388.10 : x
  2. Step 2: Convert to fraction form
    20,859.24/31,297.50 = 8,388.10/x
  3. Step 3: Cross multiply
    20,859.24x = 31,297.50 × 8,388.10
  4. Step 4: Simplify right side
    20,859.24x = 262,526,481.51
  5. Step 5: Solve for x
    x = 262,526,481.51/20,859.24
  6. Step 6: Final answer
    x = 12,585.62

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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.