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Finding the Fourth Proportional to 17,009, 23,494.72 and 11,694.58

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Solution

The fourth proportional to 17,009, 23,494.72 and 11,694.58 is: 16,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,009 : 23,494.72 = 11,694.58 : x
  2. Step 2: Convert to fraction form
    17,009/23,494.72 = 11,694.58/x
  3. Step 3: Cross multiply
    17,009x = 23,494.72 × 11,694.58
  4. Step 4: Simplify right side
    17,009x = 274,760,882.62
  5. Step 5: Solve for x
    x = 274,760,882.62/17,009
  6. Step 6: Final answer
    x = 16,153.85

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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.