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Finding the Fourth Proportional to 21,344.80, 32,005.20 and 8,197.60

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Solution

The fourth proportional to 21,344.80, 32,005.20 and 8,197.60 is: 12,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.80 : 32,005.20 = 8,197.60 : x
  2. Step 2: Convert to fraction form
    21,344.80/32,005.20 = 8,197.60/x
  3. Step 3: Cross multiply
    21,344.80x = 32,005.20 × 8,197.60
  4. Step 4: Simplify right side
    21,344.80x = 262,365,827.52
  5. Step 5: Solve for x
    x = 262,365,827.52/21,344.80
  6. Step 6: Final answer
    x = 12,291.79

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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.