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Finding the Fourth Proportional to 13,613.76, 20,423.37 and 4,847.54

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Solution

The fourth proportional to 13,613.76, 20,423.37 and 4,847.54 is: 7,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.76 : 20,423.37 = 4,847.54 : x
  2. Step 2: Convert to fraction form
    13,613.76/20,423.37 = 4,847.54/x
  3. Step 3: Cross multiply
    13,613.76x = 20,423.37 × 4,847.54
  4. Step 4: Simplify right side
    13,613.76x = 99,003,000.89
  5. Step 5: Solve for x
    x = 99,003,000.89/13,613.76
  6. Step 6: Final answer
    x = 7,272.27

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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.