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Finding the Fourth Proportional to 23,361.66, 35,029.53 and 7,770.78

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Solution

The fourth proportional to 23,361.66, 35,029.53 and 7,770.78 is: 11,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,361.66 : 35,029.53 = 7,770.78 : x
  2. Step 2: Convert to fraction form
    23,361.66/35,029.53 = 7,770.78/x
  3. Step 3: Cross multiply
    23,361.66x = 35,029.53 × 7,770.78
  4. Step 4: Simplify right side
    23,361.66x = 272,206,771.13
  5. Step 5: Solve for x
    x = 272,206,771.13/23,361.66
  6. Step 6: Final answer
    x = 11,651.86

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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.