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Finding the Fourth Proportional to 16,734.28, 23,093.09 and 9,564.13

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Solution

The fourth proportional to 16,734.28, 23,093.09 and 9,564.13 is: 13,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,734.28 : 23,093.09 = 9,564.13 : x
  2. Step 2: Convert to fraction form
    16,734.28/23,093.09 = 9,564.13/x
  3. Step 3: Cross multiply
    16,734.28x = 23,093.09 × 9,564.13
  4. Step 4: Simplify right side
    16,734.28x = 220,865,314.86
  5. Step 5: Solve for x
    x = 220,865,314.86/16,734.28
  6. Step 6: Final answer
    x = 13,198.38

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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.