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Finding the Fourth Proportional to 20,865.56, 31,291.73 and 6,822.34

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Solution

The fourth proportional to 20,865.56, 31,291.73 and 6,822.34 is: 10,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865.56 : 31,291.73 = 6,822.34 : x
  2. Step 2: Convert to fraction form
    20,865.56/31,291.73 = 6,822.34/x
  3. Step 3: Cross multiply
    20,865.56x = 31,291.73 × 6,822.34
  4. Step 4: Simplify right side
    20,865.56x = 213,482,766.50
  5. Step 5: Solve for x
    x = 213,482,766.50/20,865.56
  6. Step 6: Final answer
    x = 10,231.35

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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.