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Finding the Fourth Proportional to 13,847.77, 20,771.11 and 4,613.77

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Solution

The fourth proportional to 13,847.77, 20,771.11 and 4,613.77 is: 6,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.77 : 20,771.11 = 4,613.77 : x
  2. Step 2: Convert to fraction form
    13,847.77/20,771.11 = 4,613.77/x
  3. Step 3: Cross multiply
    13,847.77x = 20,771.11 × 4,613.77
  4. Step 4: Simplify right side
    13,847.77x = 95,833,124.18
  5. Step 5: Solve for x
    x = 95,833,124.18/13,847.77
  6. Step 6: Final answer
    x = 6,920.47

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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.