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Finding the Fourth Proportional to 22,814.76, 34,243.66 and 11,729.22

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Solution

The fourth proportional to 22,814.76, 34,243.66 and 11,729.22 is: 17,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.76 : 34,243.66 = 11,729.22 : x
  2. Step 2: Convert to fraction form
    22,814.76/34,243.66 = 11,729.22/x
  3. Step 3: Cross multiply
    22,814.76x = 34,243.66 × 11,729.22
  4. Step 4: Simplify right side
    22,814.76x = 401,651,421.75
  5. Step 5: Solve for x
    x = 401,651,421.75/22,814.76
  6. Step 6: Final answer
    x = 17,604.89

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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.