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Finding the Fourth Proportional to 17,057.50, 25,595.14 and 12,896.28

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Solution

The fourth proportional to 17,057.50, 25,595.14 and 12,896.28 is: 19,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057.50 : 25,595.14 = 12,896.28 : x
  2. Step 2: Convert to fraction form
    17,057.50/25,595.14 = 12,896.28/x
  3. Step 3: Cross multiply
    17,057.50x = 25,595.14 × 12,896.28
  4. Step 4: Simplify right side
    17,057.50x = 330,082,092.08
  5. Step 5: Solve for x
    x = 330,082,092.08/17,057.50
  6. Step 6: Final answer
    x = 19,351.14

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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.