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Finding the Fourth Proportional to 17,058.21, 25,590.78 and 7,197.47

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Solution

The fourth proportional to 17,058.21, 25,590.78 and 7,197.47 is: 10,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,058.21 : 25,590.78 = 7,197.47 : x
  2. Step 2: Convert to fraction form
    17,058.21/25,590.78 = 7,197.47/x
  3. Step 3: Cross multiply
    17,058.21x = 25,590.78 × 7,197.47
  4. Step 4: Simplify right side
    17,058.21x = 184,188,743.37
  5. Step 5: Solve for x
    x = 184,188,743.37/17,058.21
  6. Step 6: Final answer
    x = 10,797.66

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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.