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Finding the Fourth Proportional to 23,662, 35,485.32 and 7,862.79

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Solution

The fourth proportional to 23,662, 35,485.32 and 7,862.79 is: 11,791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662 : 35,485.32 = 7,862.79 : x
  2. Step 2: Convert to fraction form
    23,662/35,485.32 = 7,862.79/x
  3. Step 3: Cross multiply
    23,662x = 35,485.32 × 7,862.79
  4. Step 4: Simplify right side
    23,662x = 279,013,619.24
  5. Step 5: Solve for x
    x = 279,013,619.24/23,662
  6. Step 6: Final answer
    x = 11,791.63

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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.