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Finding the Fourth Proportional to 24,257.17, 36,399.39 and 9,467.11

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Solution

The fourth proportional to 24,257.17, 36,399.39 and 9,467.11 is: 14,205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.17 : 36,399.39 = 9,467.11 : x
  2. Step 2: Convert to fraction form
    24,257.17/36,399.39 = 9,467.11/x
  3. Step 3: Cross multiply
    24,257.17x = 36,399.39 × 9,467.11
  4. Step 4: Simplify right side
    24,257.17x = 344,597,029.06
  5. Step 5: Solve for x
    x = 344,597,029.06/24,257.17
  6. Step 6: Final answer
    x = 14,205.99

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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.