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Finding the Fourth Proportional to 23,767.38, 35,650.98 and 8,184.96

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Solution

The fourth proportional to 23,767.38, 35,650.98 and 8,184.96 is: 12,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,767.38 : 35,650.98 = 8,184.96 : x
  2. Step 2: Convert to fraction form
    23,767.38/35,650.98 = 8,184.96/x
  3. Step 3: Cross multiply
    23,767.38x = 35,650.98 × 8,184.96
  4. Step 4: Simplify right side
    23,767.38x = 291,801,845.26
  5. Step 5: Solve for x
    x = 291,801,845.26/23,767.38
  6. Step 6: Final answer
    x = 12,277.41

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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.