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Finding the Fourth Proportional to 11,782.14, 17,634.33 and 10,486.14

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Solution

The fourth proportional to 11,782.14, 17,634.33 and 10,486.14 is: 15,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.14 : 17,634.33 = 10,486.14 : x
  2. Step 2: Convert to fraction form
    11,782.14/17,634.33 = 10,486.14/x
  3. Step 3: Cross multiply
    11,782.14x = 17,634.33 × 10,486.14
  4. Step 4: Simplify right side
    11,782.14x = 184,916,053.19
  5. Step 5: Solve for x
    x = 184,916,053.19/11,782.14
  6. Step 6: Final answer
    x = 15,694.61

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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.