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Finding the Fourth Proportional to 18,822.50, 25,974.75 and 10,324.82

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Solution

The fourth proportional to 18,822.50, 25,974.75 and 10,324.82 is: 14,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,822.50 : 25,974.75 = 10,324.82 : x
  2. Step 2: Convert to fraction form
    18,822.50/25,974.75 = 10,324.82/x
  3. Step 3: Cross multiply
    18,822.50x = 25,974.75 × 10,324.82
  4. Step 4: Simplify right side
    18,822.50x = 268,184,618.30
  5. Step 5: Solve for x
    x = 268,184,618.30/18,822.50
  6. Step 6: Final answer
    x = 14,248.09

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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.