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Finding the Fourth Proportional to 18,714.20, 25,825.64 and 10,216.33

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Solution

The fourth proportional to 18,714.20, 25,825.64 and 10,216.33 is: 14,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,714.20 : 25,825.64 = 10,216.33 : x
  2. Step 2: Convert to fraction form
    18,714.20/25,825.64 = 10,216.33/x
  3. Step 3: Cross multiply
    18,714.20x = 25,825.64 × 10,216.33
  4. Step 4: Simplify right side
    18,714.20x = 263,843,221.68
  5. Step 5: Solve for x
    x = 263,843,221.68/18,714.20
  6. Step 6: Final answer
    x = 14,098.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.