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Finding the Fourth Proportional to 23,766.64, 35,640.38 and 8,967.50

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Solution

The fourth proportional to 23,766.64, 35,640.38 and 8,967.50 is: 13,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,766.64 : 35,640.38 = 8,967.50 : x
  2. Step 2: Convert to fraction form
    23,766.64/35,640.38 = 8,967.50/x
  3. Step 3: Cross multiply
    23,766.64x = 35,640.38 × 8,967.50
  4. Step 4: Simplify right side
    23,766.64x = 319,604,951.87
  5. Step 5: Solve for x
    x = 319,604,951.87/23,766.64
  6. Step 6: Final answer
    x = 13,447.63

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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.