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Finding the Fourth Proportional to 12,206.48, 18,324.88 and 12,150.32

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Solution

The fourth proportional to 12,206.48, 18,324.88 and 12,150.32 is: 18,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.48 : 18,324.88 = 12,150.32 : x
  2. Step 2: Convert to fraction form
    12,206.48/18,324.88 = 12,150.32/x
  3. Step 3: Cross multiply
    12,206.48x = 18,324.88 × 12,150.32
  4. Step 4: Simplify right side
    12,206.48x = 222,653,155.96
  5. Step 5: Solve for x
    x = 222,653,155.96/12,206.48
  6. Step 6: Final answer
    x = 18,240.57

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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.