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Finding the Fourth Proportional to 23,796.78, 35,682.69 and 8,210.82

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Solution

The fourth proportional to 23,796.78, 35,682.69 and 8,210.82 is: 12,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.78 : 35,682.69 = 8,210.82 : x
  2. Step 2: Convert to fraction form
    23,796.78/35,682.69 = 8,210.82/x
  3. Step 3: Cross multiply
    23,796.78x = 35,682.69 × 8,210.82
  4. Step 4: Simplify right side
    23,796.78x = 292,984,144.71
  5. Step 5: Solve for x
    x = 292,984,144.71/23,796.78
  6. Step 6: Final answer
    x = 12,311.92

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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.