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Finding the Fourth Proportional to 12,164.13, 18,246.20 and 9,394.84

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Solution

The fourth proportional to 12,164.13, 18,246.20 and 9,394.84 is: 14,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.13 : 18,246.20 = 9,394.84 : x
  2. Step 2: Convert to fraction form
    12,164.13/18,246.20 = 9,394.84/x
  3. Step 3: Cross multiply
    12,164.13x = 18,246.20 × 9,394.84
  4. Step 4: Simplify right side
    12,164.13x = 171,420,129.61
  5. Step 5: Solve for x
    x = 171,420,129.61/12,164.13
  6. Step 6: Final answer
    x = 14,092.26

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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.