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Finding the Fourth Proportional to 13,704.15, 18,911.78 and 7,416.53

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Solution

The fourth proportional to 13,704.15, 18,911.78 and 7,416.53 is: 10,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.15 : 18,911.78 = 7,416.53 : x
  2. Step 2: Convert to fraction form
    13,704.15/18,911.78 = 7,416.53/x
  3. Step 3: Cross multiply
    13,704.15x = 18,911.78 × 7,416.53
  4. Step 4: Simplify right side
    13,704.15x = 140,259,652.08
  5. Step 5: Solve for x
    x = 140,259,652.08/13,704.15
  6. Step 6: Final answer
    x = 10,234.83

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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.