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Finding the Fourth Proportional to 13,658.96, 20,473.38 and 5,336.48

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Solution

The fourth proportional to 13,658.96, 20,473.38 and 5,336.48 is: 7,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.96 : 20,473.38 = 5,336.48 : x
  2. Step 2: Convert to fraction form
    13,658.96/20,473.38 = 5,336.48/x
  3. Step 3: Cross multiply
    13,658.96x = 20,473.38 × 5,336.48
  4. Step 4: Simplify right side
    13,658.96x = 109,255,782.90
  5. Step 5: Solve for x
    x = 109,255,782.90/13,658.96
  6. Step 6: Final answer
    x = 7,998.84

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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.