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Finding the Fourth Proportional to 23,361.78, 35,047.28 and 8,570.82

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Solution

The fourth proportional to 23,361.78, 35,047.28 and 8,570.82 is: 12,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,361.78 : 35,047.28 = 8,570.82 : x
  2. Step 2: Convert to fraction form
    23,361.78/35,047.28 = 8,570.82/x
  3. Step 3: Cross multiply
    23,361.78x = 35,047.28 × 8,570.82
  4. Step 4: Simplify right side
    23,361.78x = 300,383,928.37
  5. Step 5: Solve for x
    x = 300,383,928.37/23,361.78
  6. Step 6: Final answer
    x = 12,857.92

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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.