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Finding the Fourth Proportional to 13,704.56, 18,912.29 and 7,416.93

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Solution

The fourth proportional to 13,704.56, 18,912.29 and 7,416.93 is: 10,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.56 : 18,912.29 = 7,416.93 : x
  2. Step 2: Convert to fraction form
    13,704.56/18,912.29 = 7,416.93/x
  3. Step 3: Cross multiply
    13,704.56x = 18,912.29 × 7,416.93
  4. Step 4: Simplify right side
    13,704.56x = 140,271,093.99
  5. Step 5: Solve for x
    x = 140,271,093.99/13,704.56
  6. Step 6: Final answer
    x = 10,235.36

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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.