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Finding the Fourth Proportional to 21,464.72, 32,162 and 20,644.60

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Solution

The fourth proportional to 21,464.72, 32,162 and 20,644.60 is: 30,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,464.72 : 32,162 = 20,644.60 : x
  2. Step 2: Convert to fraction form
    21,464.72/32,162 = 20,644.60/x
  3. Step 3: Cross multiply
    21,464.72x = 32,162 × 20,644.60
  4. Step 4: Simplify right side
    21,464.72x = 663,971,625.20
  5. Step 5: Solve for x
    x = 663,971,625.20/21,464.72
  6. Step 6: Final answer
    x = 30,933.16

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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.