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Finding the Fourth Proportional to 17,097.72, 25,691.68 and 9,206.07

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Solution

The fourth proportional to 17,097.72, 25,691.68 and 9,206.07 is: 13,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.72 : 25,691.68 = 9,206.07 : x
  2. Step 2: Convert to fraction form
    17,097.72/25,691.68 = 9,206.07/x
  3. Step 3: Cross multiply
    17,097.72x = 25,691.68 × 9,206.07
  4. Step 4: Simplify right side
    17,097.72x = 236,519,404.50
  5. Step 5: Solve for x
    x = 236,519,404.50/17,097.72
  6. Step 6: Final answer
    x = 13,833.39

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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.