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Finding the Fourth Proportional to 17,125.85, 23,633.19 and 9,572.21

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Solution

The fourth proportional to 17,125.85, 23,633.19 and 9,572.21 is: 13,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,125.85 : 23,633.19 = 9,572.21 : x
  2. Step 2: Convert to fraction form
    17,125.85/23,633.19 = 9,572.21/x
  3. Step 3: Cross multiply
    17,125.85x = 23,633.19 × 9,572.21
  4. Step 4: Simplify right side
    17,125.85x = 226,221,739.48
  5. Step 5: Solve for x
    x = 226,221,739.48/17,125.85
  6. Step 6: Final answer
    x = 13,209.38

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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.