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Finding the Fourth Proportional to 13,704.29, 18,911.97 and 7,416.66

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Solution

The fourth proportional to 13,704.29, 18,911.97 and 7,416.66 is: 10,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.29 : 18,911.97 = 7,416.66 : x
  2. Step 2: Convert to fraction form
    13,704.29/18,911.97 = 7,416.66/x
  3. Step 3: Cross multiply
    13,704.29x = 18,911.97 × 7,416.66
  4. Step 4: Simplify right side
    13,704.29x = 140,263,651.42
  5. Step 5: Solve for x
    x = 140,263,651.42/13,704.29
  6. Step 6: Final answer
    x = 10,235.02

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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.