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Finding the Fourth Proportional to 17,238.80, 25,858.92 and 10,298

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Solution

The fourth proportional to 17,238.80, 25,858.92 and 10,298 is: 15,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238.80 : 25,858.92 = 10,298 : x
  2. Step 2: Convert to fraction form
    17,238.80/25,858.92 = 10,298/x
  3. Step 3: Cross multiply
    17,238.80x = 25,858.92 × 10,298
  4. Step 4: Simplify right side
    17,238.80x = 266,295,158.16
  5. Step 5: Solve for x
    x = 266,295,158.16/17,238.80
  6. Step 6: Final answer
    x = 15,447.43

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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.