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Finding the Fourth Proportional to 16,761, 25,105.62 and 8,838.48

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Solution

The fourth proportional to 16,761, 25,105.62 and 8,838.48 is: 13,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,761 : 25,105.62 = 8,838.48 : x
  2. Step 2: Convert to fraction form
    16,761/25,105.62 = 8,838.48/x
  3. Step 3: Cross multiply
    16,761x = 25,105.62 × 8,838.48
  4. Step 4: Simplify right side
    16,761x = 221,895,520.26
  5. Step 5: Solve for x
    x = 221,895,520.26/16,761
  6. Step 6: Final answer
    x = 13,238.80

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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.