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Finding the Fourth Proportional to 12,164.09, 18,246.86 and 3,399.01

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Solution

The fourth proportional to 12,164.09, 18,246.86 and 3,399.01 is: 5,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.09 : 18,246.86 = 3,399.01 : x
  2. Step 2: Convert to fraction form
    12,164.09/18,246.86 = 3,399.01/x
  3. Step 3: Cross multiply
    12,164.09x = 18,246.86 × 3,399.01
  4. Step 4: Simplify right side
    12,164.09x = 62,021,259.61
  5. Step 5: Solve for x
    x = 62,021,259.61/12,164.09
  6. Step 6: Final answer
    x = 5,098.72

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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.