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Finding the Fourth Proportional to 13,403.32, 18,493.92 and 8,098.16

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Solution

The fourth proportional to 13,403.32, 18,493.92 and 8,098.16 is: 11,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.32 : 18,493.92 = 8,098.16 : x
  2. Step 2: Convert to fraction form
    13,403.32/18,493.92 = 8,098.16/x
  3. Step 3: Cross multiply
    13,403.32x = 18,493.92 × 8,098.16
  4. Step 4: Simplify right side
    13,403.32x = 149,766,723.19
  5. Step 5: Solve for x
    x = 149,766,723.19/13,403.32
  6. Step 6: Final answer
    x = 11,173.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.