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Finding the Fourth Proportional to 20,821.50, 31,232.28 and 8,509.50

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Solution

The fourth proportional to 20,821.50, 31,232.28 and 8,509.50 is: 12,764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821.50 : 31,232.28 = 8,509.50 : x
  2. Step 2: Convert to fraction form
    20,821.50/31,232.28 = 8,509.50/x
  3. Step 3: Cross multiply
    20,821.50x = 31,232.28 × 8,509.50
  4. Step 4: Simplify right side
    20,821.50x = 265,771,086.66
  5. Step 5: Solve for x
    x = 265,771,086.66/20,821.50
  6. Step 6: Final answer
    x = 12,764.26

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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.