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Finding the Fourth Proportional to 13,712.25, 20,568.50 and 3,324

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Solution

The fourth proportional to 13,712.25, 20,568.50 and 3,324 is: 4,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.25 : 20,568.50 = 3,324 : x
  2. Step 2: Convert to fraction form
    13,712.25/20,568.50 = 3,324/x
  3. Step 3: Cross multiply
    13,712.25x = 20,568.50 × 3,324
  4. Step 4: Simplify right side
    13,712.25x = 68,369,677.38
  5. Step 5: Solve for x
    x = 68,369,677.38/13,712.25
  6. Step 6: Final answer
    x = 4,986.03

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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.