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Finding the Fourth Proportional to 17,289.24, 23,858.70 and 9,837.24

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Solution

The fourth proportional to 17,289.24, 23,858.70 and 9,837.24 is: 13,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,289.24 : 23,858.70 = 9,837.24 : x
  2. Step 2: Convert to fraction form
    17,289.24/23,858.70 = 9,837.24/x
  3. Step 3: Cross multiply
    17,289.24x = 23,858.70 × 9,837.24
  4. Step 4: Simplify right side
    17,289.24x = 234,703,757.99
  5. Step 5: Solve for x
    x = 234,703,757.99/17,289.24
  6. Step 6: Final answer
    x = 13,575.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.