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Finding the Fourth Proportional to 12,180.67, 18,267.28 and 6,334.09

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Solution

The fourth proportional to 12,180.67, 18,267.28 and 6,334.09 is: 9,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.67 : 18,267.28 = 6,334.09 : x
  2. Step 2: Convert to fraction form
    12,180.67/18,267.28 = 6,334.09/x
  3. Step 3: Cross multiply
    12,180.67x = 18,267.28 × 6,334.09
  4. Step 4: Simplify right side
    12,180.67x = 115,706,595.58
  5. Step 5: Solve for x
    x = 115,706,595.58/12,180.67
  6. Step 6: Final answer
    x = 9,499.20

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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.