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Finding the Fourth Proportional to 13,712.63, 20,569.01 and 3,324.38

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Solution

The fourth proportional to 13,712.63, 20,569.01 and 3,324.38 is: 4,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.63 : 20,569.01 = 3,324.38 : x
  2. Step 2: Convert to fraction form
    13,712.63/20,569.01 = 3,324.38/x
  3. Step 3: Cross multiply
    13,712.63x = 20,569.01 × 3,324.38
  4. Step 4: Simplify right side
    13,712.63x = 68,379,086.00
  5. Step 5: Solve for x
    x = 68,379,086.00/13,712.63
  6. Step 6: Final answer
    x = 4,986.58

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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.