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Finding the Fourth Proportional to 17,292.66, 23,864.31 and 9,739.23

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Solution

The fourth proportional to 17,292.66, 23,864.31 and 9,739.23 is: 13,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,292.66 : 23,864.31 = 9,739.23 : x
  2. Step 2: Convert to fraction form
    17,292.66/23,864.31 = 9,739.23/x
  3. Step 3: Cross multiply
    17,292.66x = 23,864.31 × 9,739.23
  4. Step 4: Simplify right side
    17,292.66x = 232,420,003.88
  5. Step 5: Solve for x
    x = 232,420,003.88/17,292.66
  6. Step 6: Final answer
    x = 13,440.38

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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.