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Finding the Fourth Proportional to 21,638.72, 32,453.76 and 6,845.12

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Solution

The fourth proportional to 21,638.72, 32,453.76 and 6,845.12 is: 10,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.72 : 32,453.76 = 6,845.12 : x
  2. Step 2: Convert to fraction form
    21,638.72/32,453.76 = 6,845.12/x
  3. Step 3: Cross multiply
    21,638.72x = 32,453.76 × 6,845.12
  4. Step 4: Simplify right side
    21,638.72x = 222,149,881.65
  5. Step 5: Solve for x
    x = 222,149,881.65/21,638.72
  6. Step 6: Final answer
    x = 10,266.31

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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.