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Finding the Fourth Proportional to 13,729.91, 20,601.74 and 5,415.86

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Solution

The fourth proportional to 13,729.91, 20,601.74 and 5,415.86 is: 8,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.91 : 20,601.74 = 5,415.86 : x
  2. Step 2: Convert to fraction form
    13,729.91/20,601.74 = 5,415.86/x
  3. Step 3: Cross multiply
    13,729.91x = 20,601.74 × 5,415.86
  4. Step 4: Simplify right side
    13,729.91x = 111,576,204.64
  5. Step 5: Solve for x
    x = 111,576,204.64/13,729.91
  6. Step 6: Final answer
    x = 8,126.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.