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Finding the Fourth Proportional to 22,814.74, 34,243.65 and 11,729.23

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Solution

The fourth proportional to 22,814.74, 34,243.65 and 11,729.23 is: 17,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.74 : 34,243.65 = 11,729.23 : x
  2. Step 2: Convert to fraction form
    22,814.74/34,243.65 = 11,729.23/x
  3. Step 3: Cross multiply
    22,814.74x = 34,243.65 × 11,729.23
  4. Step 4: Simplify right side
    22,814.74x = 401,651,646.89
  5. Step 5: Solve for x
    x = 401,651,646.89/22,814.74
  6. Step 6: Final answer
    x = 17,604.92

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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.