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Finding the Fourth Proportional to 18,813.24, 25,960.84 and 10,314

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Solution

The fourth proportional to 18,813.24, 25,960.84 and 10,314 is: 14,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,813.24 : 25,960.84 = 10,314 : x
  2. Step 2: Convert to fraction form
    18,813.24/25,960.84 = 10,314/x
  3. Step 3: Cross multiply
    18,813.24x = 25,960.84 × 10,314
  4. Step 4: Simplify right side
    18,813.24x = 267,760,103.76
  5. Step 5: Solve for x
    x = 267,760,103.76/18,813.24
  6. Step 6: Final answer
    x = 14,232.54

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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.