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Finding the Fourth Proportional to 23,661.66, 35,494.38 and 7,866.12

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Solution

The fourth proportional to 23,661.66, 35,494.38 and 7,866.12 is: 11,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,661.66 : 35,494.38 = 7,866.12 : x
  2. Step 2: Convert to fraction form
    23,661.66/35,494.38 = 7,866.12/x
  3. Step 3: Cross multiply
    23,661.66x = 35,494.38 × 7,866.12
  4. Step 4: Simplify right side
    23,661.66x = 279,203,052.41
  5. Step 5: Solve for x
    x = 279,203,052.41/23,661.66
  6. Step 6: Final answer
    x = 11,799.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.