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Finding the Fourth Proportional to 20,620.46, 30,932.68 and 5,829.86

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Solution

The fourth proportional to 20,620.46, 30,932.68 and 5,829.86 is: 8,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,620.46 : 30,932.68 = 5,829.86 : x
  2. Step 2: Convert to fraction form
    20,620.46/30,932.68 = 5,829.86/x
  3. Step 3: Cross multiply
    20,620.46x = 30,932.68 × 5,829.86
  4. Step 4: Simplify right side
    20,620.46x = 180,333,193.82
  5. Step 5: Solve for x
    x = 180,333,193.82/20,620.46
  6. Step 6: Final answer
    x = 8,745.35

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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.