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Finding the Fourth Proportional to 17,106.80, 23,607.15 and 9,553.27

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Solution

The fourth proportional to 17,106.80, 23,607.15 and 9,553.27 is: 13,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,106.80 : 23,607.15 = 9,553.27 : x
  2. Step 2: Convert to fraction form
    17,106.80/23,607.15 = 9,553.27/x
  3. Step 3: Cross multiply
    17,106.80x = 23,607.15 × 9,553.27
  4. Step 4: Simplify right side
    17,106.80x = 225,525,359.84
  5. Step 5: Solve for x
    x = 225,525,359.84/17,106.80
  6. Step 6: Final answer
    x = 13,183.38

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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.