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Finding the Fourth Proportional to 16,852, 23,255.76 and 11,264.80

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Solution

The fourth proportional to 16,852, 23,255.76 and 11,264.80 is: 15,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852 : 23,255.76 = 11,264.80 : x
  2. Step 2: Convert to fraction form
    16,852/23,255.76 = 11,264.80/x
  3. Step 3: Cross multiply
    16,852x = 23,255.76 × 11,264.80
  4. Step 4: Simplify right side
    16,852x = 261,971,485.25
  5. Step 5: Solve for x
    x = 261,971,485.25/16,852
  6. Step 6: Final answer
    x = 15,545.42

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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.