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Finding the Fourth Proportional to 17,329.44, 23,911.92 and 9,876

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Solution

The fourth proportional to 17,329.44, 23,911.92 and 9,876 is: 13,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,329.44 : 23,911.92 = 9,876 : x
  2. Step 2: Convert to fraction form
    17,329.44/23,911.92 = 9,876/x
  3. Step 3: Cross multiply
    17,329.44x = 23,911.92 × 9,876
  4. Step 4: Simplify right side
    17,329.44x = 236,154,121.92
  5. Step 5: Solve for x
    x = 236,154,121.92/17,329.44
  6. Step 6: Final answer
    x = 13,627.34

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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.