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Finding the Fourth Proportional to 13,658.09, 20,486.16 and 3,797.42

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Solution

The fourth proportional to 13,658.09, 20,486.16 and 3,797.42 is: 5,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.09 : 20,486.16 = 3,797.42 : x
  2. Step 2: Convert to fraction form
    13,658.09/20,486.16 = 3,797.42/x
  3. Step 3: Cross multiply
    13,658.09x = 20,486.16 × 3,797.42
  4. Step 4: Simplify right side
    13,658.09x = 77,794,451.28
  5. Step 5: Solve for x
    x = 77,794,451.28/13,658.09
  6. Step 6: Final answer
    x = 5,695.85

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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.