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Finding the Fourth Proportional to 18,712.96, 25,822.78 and 10,213.39

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Solution

The fourth proportional to 18,712.96, 25,822.78 and 10,213.39 is: 14,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,712.96 : 25,822.78 = 10,213.39 : x
  2. Step 2: Convert to fraction form
    18,712.96/25,822.78 = 10,213.39/x
  3. Step 3: Cross multiply
    18,712.96x = 25,822.78 × 10,213.39
  4. Step 4: Simplify right side
    18,712.96x = 263,738,187.22
  5. Step 5: Solve for x
    x = 263,738,187.22/18,712.96
  6. Step 6: Final answer
    x = 14,093.88

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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.