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Finding the Fourth Proportional to 21,704.06, 32,561 and 6,913.82

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Solution

The fourth proportional to 21,704.06, 32,561 and 6,913.82 is: 10,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704.06 : 32,561 = 6,913.82 : x
  2. Step 2: Convert to fraction form
    21,704.06/32,561 = 6,913.82/x
  3. Step 3: Cross multiply
    21,704.06x = 32,561 × 6,913.82
  4. Step 4: Simplify right side
    21,704.06x = 225,120,893.02
  5. Step 5: Solve for x
    x = 225,120,893.02/21,704.06
  6. Step 6: Final answer
    x = 10,372.29

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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.