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Finding the Fourth Proportional to 12,164.06, 18,213.19 and 6,308.36

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Solution

The fourth proportional to 12,164.06, 18,213.19 and 6,308.36 is: 9,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.06 : 18,213.19 = 6,308.36 : x
  2. Step 2: Convert to fraction form
    12,164.06/18,213.19 = 6,308.36/x
  3. Step 3: Cross multiply
    12,164.06x = 18,213.19 × 6,308.36
  4. Step 4: Simplify right side
    12,164.06x = 114,895,359.27
  5. Step 5: Solve for x
    x = 114,895,359.27/12,164.06
  6. Step 6: Final answer
    x = 9,445.48

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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.