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Finding the Fourth Proportional to 13,704.86, 18,912.77 and 7,417.24

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Solution

The fourth proportional to 13,704.86, 18,912.77 and 7,417.24 is: 10,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.86 : 18,912.77 = 7,417.24 : x
  2. Step 2: Convert to fraction form
    13,704.86/18,912.77 = 7,417.24/x
  3. Step 3: Cross multiply
    13,704.86x = 18,912.77 × 7,417.24
  4. Step 4: Simplify right side
    13,704.86x = 140,280,525.42
  5. Step 5: Solve for x
    x = 140,280,525.42/13,704.86
  6. Step 6: Final answer
    x = 10,235.82

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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.