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Finding the Fourth Proportional to 24,284.26, 36,411.81 and 16,469.38

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Solution

The fourth proportional to 24,284.26, 36,411.81 and 16,469.38 is: 24,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284.26 : 36,411.81 = 16,469.38 : x
  2. Step 2: Convert to fraction form
    24,284.26/36,411.81 = 16,469.38/x
  3. Step 3: Cross multiply
    24,284.26x = 36,411.81 × 16,469.38
  4. Step 4: Simplify right side
    24,284.26x = 599,679,935.38
  5. Step 5: Solve for x
    x = 599,679,935.38/24,284.26
  6. Step 6: Final answer
    x = 24,694.18

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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.