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Finding the Fourth Proportional to 22,291.74, 33,438.35 and 8,255.31

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Solution

The fourth proportional to 22,291.74, 33,438.35 and 8,255.31 is: 12,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,291.74 : 33,438.35 = 8,255.31 : x
  2. Step 2: Convert to fraction form
    22,291.74/33,438.35 = 8,255.31/x
  3. Step 3: Cross multiply
    22,291.74x = 33,438.35 × 8,255.31
  4. Step 4: Simplify right side
    22,291.74x = 276,043,903.86
  5. Step 5: Solve for x
    x = 276,043,903.86/22,291.74
  6. Step 6: Final answer
    x = 12,383.24

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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.