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Finding the Fourth Proportional to 20,922.60, 31,384.86 and 8,272.32

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Solution

The fourth proportional to 20,922.60, 31,384.86 and 8,272.32 is: 12,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,922.60 : 31,384.86 = 8,272.32 : x
  2. Step 2: Convert to fraction form
    20,922.60/31,384.86 = 8,272.32/x
  3. Step 3: Cross multiply
    20,922.60x = 31,384.86 × 8,272.32
  4. Step 4: Simplify right side
    20,922.60x = 259,625,605.08
  5. Step 5: Solve for x
    x = 259,625,605.08/20,922.60
  6. Step 6: Final answer
    x = 12,408.86

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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.