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Finding the Fourth Proportional to 23,620.64, 35,435.96 and 7,824.77

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Solution

The fourth proportional to 23,620.64, 35,435.96 and 7,824.77 is: 11,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,620.64 : 35,435.96 = 7,824.77 : x
  2. Step 2: Convert to fraction form
    23,620.64/35,435.96 = 7,824.77/x
  3. Step 3: Cross multiply
    23,620.64x = 35,435.96 × 7,824.77
  4. Step 4: Simplify right side
    23,620.64x = 277,278,020.43
  5. Step 5: Solve for x
    x = 277,278,020.43/23,620.64
  6. Step 6: Final answer
    x = 11,738.80

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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.