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Finding the Fourth Proportional to 23,163.57, 34,736.18 and 8,364.47

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Solution

The fourth proportional to 23,163.57, 34,736.18 and 8,364.47 is: 12,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,163.57 : 34,736.18 = 8,364.47 : x
  2. Step 2: Convert to fraction form
    23,163.57/34,736.18 = 8,364.47/x
  3. Step 3: Cross multiply
    23,163.57x = 34,736.18 × 8,364.47
  4. Step 4: Simplify right side
    23,163.57x = 290,549,520.02
  5. Step 5: Solve for x
    x = 290,549,520.02/23,163.57
  6. Step 6: Final answer
    x = 12,543.38

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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.