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Finding the Fourth Proportional to 23,232.34, 34,814.49 and 11,522.17

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Solution

The fourth proportional to 23,232.34, 34,814.49 and 11,522.17 is: 17,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232.34 : 34,814.49 = 11,522.17 : x
  2. Step 2: Convert to fraction form
    23,232.34/34,814.49 = 11,522.17/x
  3. Step 3: Cross multiply
    23,232.34x = 34,814.49 × 11,522.17
  4. Step 4: Simplify right side
    23,232.34x = 401,138,472.24
  5. Step 5: Solve for x
    x = 401,138,472.24/23,232.34
  6. Step 6: Final answer
    x = 17,266.38

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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.