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Finding the Fourth Proportional to 21,932, 32,906.22 and 13,173.20

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Solution

The fourth proportional to 21,932, 32,906.22 and 13,173.20 is: 19,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,932 : 32,906.22 = 13,173.20 : x
  2. Step 2: Convert to fraction form
    21,932/32,906.22 = 13,173.20/x
  3. Step 3: Cross multiply
    21,932x = 32,906.22 × 13,173.20
  4. Step 4: Simplify right side
    21,932x = 433,480,217.30
  5. Step 5: Solve for x
    x = 433,480,217.30/21,932
  6. Step 6: Final answer
    x = 19,764.74

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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.