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Finding the Fourth Proportional to 13,610.15, 20,408.64 and 5,710.42

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Solution

The fourth proportional to 13,610.15, 20,408.64 and 5,710.42 is: 8,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,610.15 : 20,408.64 = 5,710.42 : x
  2. Step 2: Convert to fraction form
    13,610.15/20,408.64 = 5,710.42/x
  3. Step 3: Cross multiply
    13,610.15x = 20,408.64 × 5,710.42
  4. Step 4: Simplify right side
    13,610.15x = 116,541,906.03
  5. Step 5: Solve for x
    x = 116,541,906.03/13,610.15
  6. Step 6: Final answer
    x = 8,562.87

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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.