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Finding the Fourth Proportional to 23,634, 32,614.78 and 12,878.85

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Solution

The fourth proportional to 23,634, 32,614.78 and 12,878.85 is: 17,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634 : 32,614.78 = 12,878.85 : x
  2. Step 2: Convert to fraction form
    23,634/32,614.78 = 12,878.85/x
  3. Step 3: Cross multiply
    23,634x = 32,614.78 × 12,878.85
  4. Step 4: Simplify right side
    23,634x = 420,040,859.40
  5. Step 5: Solve for x
    x = 420,040,859.40/23,634
  6. Step 6: Final answer
    x = 17,772.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.