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Finding the Fourth Proportional to 17,107.87, 23,607.50 and 9,553.76

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Solution

The fourth proportional to 17,107.87, 23,607.50 and 9,553.76 is: 13,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,107.87 : 23,607.50 = 9,553.76 : x
  2. Step 2: Convert to fraction form
    17,107.87/23,607.50 = 9,553.76/x
  3. Step 3: Cross multiply
    17,107.87x = 23,607.50 × 9,553.76
  4. Step 4: Simplify right side
    17,107.87x = 225,540,271.16
  5. Step 5: Solve for x
    x = 225,540,271.16/17,107.87
  6. Step 6: Final answer
    x = 13,183.42

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1.5x scale

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.