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Finding the Fourth Proportional to 12,214.98, 18,321.18 and 8,291.46

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Solution

The fourth proportional to 12,214.98, 18,321.18 and 8,291.46 is: 12,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.98 : 18,321.18 = 8,291.46 : x
  2. Step 2: Convert to fraction form
    12,214.98/18,321.18 = 8,291.46/x
  3. Step 3: Cross multiply
    12,214.98x = 18,321.18 × 8,291.46
  4. Step 4: Simplify right side
    12,214.98x = 151,909,331.12
  5. Step 5: Solve for x
    x = 151,909,331.12/12,214.98
  6. Step 6: Final answer
    x = 12,436.31

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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.