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Finding the Fourth Proportional to 11,736.82, 17,514.23 and 10,490.50

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Solution

The fourth proportional to 11,736.82, 17,514.23 and 10,490.50 is: 15,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736.82 : 17,514.23 = 10,490.50 : x
  2. Step 2: Convert to fraction form
    11,736.82/17,514.23 = 10,490.50/x
  3. Step 3: Cross multiply
    11,736.82x = 17,514.23 × 10,490.50
  4. Step 4: Simplify right side
    11,736.82x = 183,733,029.82
  5. Step 5: Solve for x
    x = 183,733,029.82/11,736.82
  6. Step 6: Final answer
    x = 15,654.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.