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Finding the Fourth Proportional to 13,421.31, 18,523.11 and 8,116.16

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Solution

The fourth proportional to 13,421.31, 18,523.11 and 8,116.16 is: 11,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.31 : 18,523.11 = 8,116.16 : x
  2. Step 2: Convert to fraction form
    13,421.31/18,523.11 = 8,116.16/x
  3. Step 3: Cross multiply
    13,421.31x = 18,523.11 × 8,116.16
  4. Step 4: Simplify right side
    13,421.31x = 150,336,524.46
  5. Step 5: Solve for x
    x = 150,336,524.46/13,421.31
  6. Step 6: Final answer
    x = 11,201.33

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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.