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Finding the Fourth Proportional to 12,184.70, 18,273.37 and 6,338.12

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Solution

The fourth proportional to 12,184.70, 18,273.37 and 6,338.12 is: 9,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.70 : 18,273.37 = 6,338.12 : x
  2. Step 2: Convert to fraction form
    12,184.70/18,273.37 = 6,338.12/x
  3. Step 3: Cross multiply
    12,184.70x = 18,273.37 × 6,338.12
  4. Step 4: Simplify right side
    12,184.70x = 115,818,688.81
  5. Step 5: Solve for x
    x = 115,818,688.81/12,184.70
  6. Step 6: Final answer
    x = 9,505.26

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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.