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Finding the Fourth Proportional to 20,680.50, 31,031.00 and 8,200.25

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Solution

The fourth proportional to 20,680.50, 31,031.00 and 8,200.25 is: 12,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,680.50 : 31,031.00 = 8,200.25 : x
  2. Step 2: Convert to fraction form
    20,680.50/31,031.00 = 8,200.25/x
  3. Step 3: Cross multiply
    20,680.50x = 31,031.00 × 8,200.25
  4. Step 4: Simplify right side
    20,680.50x = 254,462,083.26
  5. Step 5: Solve for x
    x = 254,462,083.26/20,680.50
  6. Step 6: Final answer
    x = 12,304.45

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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.