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Finding the Fourth Proportional to 21,336.32, 32,003.52 and 8,194.88

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Solution

The fourth proportional to 21,336.32, 32,003.52 and 8,194.88 is: 12,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,336.32 : 32,003.52 = 8,194.88 : x
  2. Step 2: Convert to fraction form
    21,336.32/32,003.52 = 8,194.88/x
  3. Step 3: Cross multiply
    21,336.32x = 32,003.52 × 8,194.88
  4. Step 4: Simplify right side
    21,336.32x = 262,265,005.98
  5. Step 5: Solve for x
    x = 262,265,005.98/21,336.32
  6. Step 6: Final answer
    x = 12,291.95

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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.