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Finding the Fourth Proportional to 17,706.50, 24,382.22 and 17,313.57

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Solution

The fourth proportional to 17,706.50, 24,382.22 and 17,313.57 is: 23,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.50 : 24,382.22 = 17,313.57 : x
  2. Step 2: Convert to fraction form
    17,706.50/24,382.22 = 17,313.57/x
  3. Step 3: Cross multiply
    17,706.50x = 24,382.22 × 17,313.57
  4. Step 4: Simplify right side
    17,706.50x = 422,143,186.16
  5. Step 5: Solve for x
    x = 422,143,186.16/17,706.50
  6. Step 6: Final answer
    x = 23,841.15

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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.