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Finding the Fourth Proportional to 22,782.11, 34,169.22 and 10,299.23

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Solution

The fourth proportional to 22,782.11, 34,169.22 and 10,299.23 is: 15,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.11 : 34,169.22 = 10,299.23 : x
  2. Step 2: Convert to fraction form
    22,782.11/34,169.22 = 10,299.23/x
  3. Step 3: Cross multiply
    22,782.11x = 34,169.22 × 10,299.23
  4. Step 4: Simplify right side
    22,782.11x = 351,916,459.11
  5. Step 5: Solve for x
    x = 351,916,459.11/22,782.11
  6. Step 6: Final answer
    x = 15,447.06

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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.