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Finding the Fourth Proportional to 17,289, 23,858.82 and 9,837

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Solution

The fourth proportional to 17,289, 23,858.82 and 9,837 is: 13,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,289 : 23,858.82 = 9,837 : x
  2. Step 2: Convert to fraction form
    17,289/23,858.82 = 9,837/x
  3. Step 3: Cross multiply
    17,289x = 23,858.82 × 9,837
  4. Step 4: Simplify right side
    17,289x = 234,699,212.34
  5. Step 5: Solve for x
    x = 234,699,212.34/17,289
  6. Step 6: Final answer
    x = 13,575.06

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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.