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Finding the Fourth Proportional to 17,159.91, 25,731.62 and 7,293.84

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Solution

The fourth proportional to 17,159.91, 25,731.62 and 7,293.84 is: 10,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,159.91 : 25,731.62 = 7,293.84 : x
  2. Step 2: Convert to fraction form
    17,159.91/25,731.62 = 7,293.84/x
  3. Step 3: Cross multiply
    17,159.91x = 25,731.62 × 7,293.84
  4. Step 4: Simplify right side
    17,159.91x = 187,682,319.22
  5. Step 5: Solve for x
    x = 187,682,319.22/17,159.91
  6. Step 6: Final answer
    x = 10,937.26

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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.