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Finding the Fourth Proportional to 17,097.14, 25,578.23 and 12,949.10

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Solution

The fourth proportional to 17,097.14, 25,578.23 and 12,949.10 is: 19,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.14 : 25,578.23 = 12,949.10 : x
  2. Step 2: Convert to fraction form
    17,097.14/25,578.23 = 12,949.10/x
  3. Step 3: Cross multiply
    17,097.14x = 25,578.23 × 12,949.10
  4. Step 4: Simplify right side
    17,097.14x = 331,215,058.09
  5. Step 5: Solve for x
    x = 331,215,058.09/17,097.14
  6. Step 6: Final answer
    x = 19,372.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.