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Finding the Fourth Proportional to 13,613.76, 20,410.92 and 5,818.32

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Solution

The fourth proportional to 13,613.76, 20,410.92 and 5,818.32 is: 8,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.76 : 20,410.92 = 5,818.32 : x
  2. Step 2: Convert to fraction form
    13,613.76/20,410.92 = 5,818.32/x
  3. Step 3: Cross multiply
    13,613.76x = 20,410.92 × 5,818.32
  4. Step 4: Simplify right side
    13,613.76x = 118,757,264.05
  5. Step 5: Solve for x
    x = 118,757,264.05/13,613.76
  6. Step 6: Final answer
    x = 8,723.33

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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.