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Finding the Fourth Proportional to 21,344.48, 32,020.86 and 8,195.84

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Solution

The fourth proportional to 21,344.48, 32,020.86 and 8,195.84 is: 12,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.48 : 32,020.86 = 8,195.84 : x
  2. Step 2: Convert to fraction form
    21,344.48/32,020.86 = 8,195.84/x
  3. Step 3: Cross multiply
    21,344.48x = 32,020.86 × 8,195.84
  4. Step 4: Simplify right side
    21,344.48x = 262,437,845.22
  5. Step 5: Solve for x
    x = 262,437,845.22/21,344.48
  6. Step 6: Final answer
    x = 12,295.35

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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.