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Finding the Fourth Proportional to 11,837.34, 17,754.93 and 10,909.26

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Solution

The fourth proportional to 11,837.34, 17,754.93 and 10,909.26 is: 16,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.34 : 17,754.93 = 10,909.26 : x
  2. Step 2: Convert to fraction form
    11,837.34/17,754.93 = 10,909.26/x
  3. Step 3: Cross multiply
    11,837.34x = 17,754.93 × 10,909.26
  4. Step 4: Simplify right side
    11,837.34x = 193,693,147.65
  5. Step 5: Solve for x
    x = 193,693,147.65/11,837.34
  6. Step 6: Final answer
    x = 16,362.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.