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Finding the Fourth Proportional to 13,704.39, 18,912.14 and 7,416.77

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Solution

The fourth proportional to 13,704.39, 18,912.14 and 7,416.77 is: 10,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.39 : 18,912.14 = 7,416.77 : x
  2. Step 2: Convert to fraction form
    13,704.39/18,912.14 = 7,416.77/x
  3. Step 3: Cross multiply
    13,704.39x = 18,912.14 × 7,416.77
  4. Step 4: Simplify right side
    13,704.39x = 140,266,992.59
  5. Step 5: Solve for x
    x = 140,266,992.59/13,704.39
  6. Step 6: Final answer
    x = 10,235.19

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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.