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Finding the Fourth Proportional to 20,765.21, 31,147.82 and 5,182.83

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Solution

The fourth proportional to 20,765.21, 31,147.82 and 5,182.83 is: 7,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.21 : 31,147.82 = 5,182.83 : x
  2. Step 2: Convert to fraction form
    20,765.21/31,147.82 = 5,182.83/x
  3. Step 3: Cross multiply
    20,765.21x = 31,147.82 × 5,182.83
  4. Step 4: Simplify right side
    20,765.21x = 161,433,830.02
  5. Step 5: Solve for x
    x = 161,433,830.02/20,765.21
  6. Step 6: Final answer
    x = 7,774.25

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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.