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Finding the Fourth Proportional to 23,361.80, 35,020.44 and 7,768.52

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Solution

The fourth proportional to 23,361.80, 35,020.44 and 7,768.52 is: 11,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,361.80 : 35,020.44 = 7,768.52 : x
  2. Step 2: Convert to fraction form
    23,361.80/35,020.44 = 7,768.52/x
  3. Step 3: Cross multiply
    23,361.80x = 35,020.44 × 7,768.52
  4. Step 4: Simplify right side
    23,361.80x = 272,056,988.55
  5. Step 5: Solve for x
    x = 272,056,988.55/23,361.80
  6. Step 6: Final answer
    x = 11,645.38

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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.