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Finding the Fourth Proportional to 13,658.36, 20,475.32 and 5,336.42

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Solution

The fourth proportional to 13,658.36, 20,475.32 and 5,336.42 is: 7,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.36 : 20,475.32 = 5,336.42 : x
  2. Step 2: Convert to fraction form
    13,658.36/20,475.32 = 5,336.42/x
  3. Step 3: Cross multiply
    13,658.36x = 20,475.32 × 5,336.42
  4. Step 4: Simplify right side
    13,658.36x = 109,264,778.10
  5. Step 5: Solve for x
    x = 109,264,778.10/13,658.36
  6. Step 6: Final answer
    x = 7,999.85

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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.