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Finding the Fourth Proportional to 24,389.97, 33,658.09 and 13,211.97

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Solution

The fourth proportional to 24,389.97, 33,658.09 and 13,211.97 is: 18,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,389.97 : 33,658.09 = 13,211.97 : x
  2. Step 2: Convert to fraction form
    24,389.97/33,658.09 = 13,211.97/x
  3. Step 3: Cross multiply
    24,389.97x = 33,658.09 × 13,211.97
  4. Step 4: Simplify right side
    24,389.97x = 444,689,675.34
  5. Step 5: Solve for x
    x = 444,689,675.34/24,389.97
  6. Step 6: Final answer
    x = 18,232.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.