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Finding the Fourth Proportional to 18,194.14, 27,301.74 and 7,663.42

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Solution

The fourth proportional to 18,194.14, 27,301.74 and 7,663.42 is: 11,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194.14 : 27,301.74 = 7,663.42 : x
  2. Step 2: Convert to fraction form
    18,194.14/27,301.74 = 7,663.42/x
  3. Step 3: Cross multiply
    18,194.14x = 27,301.74 × 7,663.42
  4. Step 4: Simplify right side
    18,194.14x = 209,224,700.35
  5. Step 5: Solve for x
    x = 209,224,700.35/18,194.14
  6. Step 6: Final answer
    x = 11,499.57

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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.