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Finding the Fourth Proportional to 21,571.47, 32,375.61 and 8,433.09

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Solution

The fourth proportional to 21,571.47, 32,375.61 and 8,433.09 is: 12,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.47 : 32,375.61 = 8,433.09 : x
  2. Step 2: Convert to fraction form
    21,571.47/32,375.61 = 8,433.09/x
  3. Step 3: Cross multiply
    21,571.47x = 32,375.61 × 8,433.09
  4. Step 4: Simplify right side
    21,571.47x = 273,026,432.93
  5. Step 5: Solve for x
    x = 273,026,432.93/21,571.47
  6. Step 6: Final answer
    x = 12,656.83

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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.