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Finding the Fourth Proportional to 18,882.50, 28,326.99 and 5,736.20

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Solution

The fourth proportional to 18,882.50, 28,326.99 and 5,736.20 is: 8,605.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,882.50 : 28,326.99 = 5,736.20 : x
  2. Step 2: Convert to fraction form
    18,882.50/28,326.99 = 5,736.20/x
  3. Step 3: Cross multiply
    18,882.50x = 28,326.99 × 5,736.20
  4. Step 4: Simplify right side
    18,882.50x = 162,489,280.04
  5. Step 5: Solve for x
    x = 162,489,280.04/18,882.50
  6. Step 6: Final answer
    x = 8,605.28

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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.