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Finding the Fourth Proportional to 18,189.36, 27,284.22 and 6,510.96

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Solution

The fourth proportional to 18,189.36, 27,284.22 and 6,510.96 is: 9,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,189.36 : 27,284.22 = 6,510.96 : x
  2. Step 2: Convert to fraction form
    18,189.36/27,284.22 = 6,510.96/x
  3. Step 3: Cross multiply
    18,189.36x = 27,284.22 × 6,510.96
  4. Step 4: Simplify right side
    18,189.36x = 177,646,465.05
  5. Step 5: Solve for x
    x = 177,646,465.05/18,189.36
  6. Step 6: Final answer
    x = 9,766.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.