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Finding the Fourth Proportional to 12,228.13, 18,334.81 and 6,673.76

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Solution

The fourth proportional to 12,228.13, 18,334.81 and 6,673.76 is: 10,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.13 : 18,334.81 = 6,673.76 : x
  2. Step 2: Convert to fraction form
    12,228.13/18,334.81 = 6,673.76/x
  3. Step 3: Cross multiply
    12,228.13x = 18,334.81 × 6,673.76
  4. Step 4: Simplify right side
    12,228.13x = 122,362,121.59
  5. Step 5: Solve for x
    x = 122,362,121.59/12,228.13
  6. Step 6: Final answer
    x = 10,006.61

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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.