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Finding the Fourth Proportional to 20,509.92, 30,736.80 and 8,807.04

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Solution

The fourth proportional to 20,509.92, 30,736.80 and 8,807.04 is: 13,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.92 : 30,736.80 = 8,807.04 : x
  2. Step 2: Convert to fraction form
    20,509.92/30,736.80 = 8,807.04/x
  3. Step 3: Cross multiply
    20,509.92x = 30,736.80 × 8,807.04
  4. Step 4: Simplify right side
    20,509.92x = 270,700,227.07
  5. Step 5: Solve for x
    x = 270,700,227.07/20,509.92
  6. Step 6: Final answer
    x = 13,198.50

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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.