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Finding the Fourth Proportional to 17,296, 23,866.32 and 9,741.28

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Solution

The fourth proportional to 17,296, 23,866.32 and 9,741.28 is: 13,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296 : 23,866.32 = 9,741.28 : x
  2. Step 2: Convert to fraction form
    17,296/23,866.32 = 9,741.28/x
  3. Step 3: Cross multiply
    17,296x = 23,866.32 × 9,741.28
  4. Step 4: Simplify right side
    17,296x = 232,488,505.69
  5. Step 5: Solve for x
    x = 232,488,505.69/17,296
  6. Step 6: Final answer
    x = 13,441.75

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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.