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Finding the Fourth Proportional to 23,857.68, 35,759.52 and 12,146.16

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Solution

The fourth proportional to 23,857.68, 35,759.52 and 12,146.16 is: 18,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.68 : 35,759.52 = 12,146.16 : x
  2. Step 2: Convert to fraction form
    23,857.68/35,759.52 = 12,146.16/x
  3. Step 3: Cross multiply
    23,857.68x = 35,759.52 × 12,146.16
  4. Step 4: Simplify right side
    23,857.68x = 434,340,851.44
  5. Step 5: Solve for x
    x = 434,340,851.44/23,857.68
  6. Step 6: Final answer
    x = 18,205.49

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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.