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Finding the Fourth Proportional to 21,771.23, 32,671.38 and 7,920.23

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Solution

The fourth proportional to 21,771.23, 32,671.38 and 7,920.23 is: 11,885.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.23 : 32,671.38 = 7,920.23 : x
  2. Step 2: Convert to fraction form
    21,771.23/32,671.38 = 7,920.23/x
  3. Step 3: Cross multiply
    21,771.23x = 32,671.38 × 7,920.23
  4. Step 4: Simplify right side
    21,771.23x = 258,764,844.02
  5. Step 5: Solve for x
    x = 258,764,844.02/21,771.23
  6. Step 6: Final answer
    x = 11,885.63

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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.