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Finding the Fourth Proportional to 20,806.85, 31,207.44 and 6,765.50

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Solution

The fourth proportional to 20,806.85, 31,207.44 and 6,765.50 is: 10,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.85 : 31,207.44 = 6,765.50 : x
  2. Step 2: Convert to fraction form
    20,806.85/31,207.44 = 6,765.50/x
  3. Step 3: Cross multiply
    20,806.85x = 31,207.44 × 6,765.50
  4. Step 4: Simplify right side
    20,806.85x = 211,134,038.71
  5. Step 5: Solve for x
    x = 211,134,038.71/20,806.85
  6. Step 6: Final answer
    x = 10,147.33

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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.