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Finding the Fourth Proportional to 21,495.47, 32,213.89 and 8,161.33

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Solution

The fourth proportional to 21,495.47, 32,213.89 and 8,161.33 is: 12,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,495.47 : 32,213.89 = 8,161.33 : x
  2. Step 2: Convert to fraction form
    21,495.47/32,213.89 = 8,161.33/x
  3. Step 3: Cross multiply
    21,495.47x = 32,213.89 × 8,161.33
  4. Step 4: Simplify right side
    21,495.47x = 262,908,137.38
  5. Step 5: Solve for x
    x = 262,908,137.38/21,495.47
  6. Step 6: Final answer
    x = 12,230.86

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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.