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Finding the Fourth Proportional to 17,706.38, 26,546.31 and 10,684.74

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Solution

The fourth proportional to 17,706.38, 26,546.31 and 10,684.74 is: 16,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.38 : 26,546.31 = 10,684.74 : x
  2. Step 2: Convert to fraction form
    17,706.38/26,546.31 = 10,684.74/x
  3. Step 3: Cross multiply
    17,706.38x = 26,546.31 × 10,684.74
  4. Step 4: Simplify right side
    17,706.38x = 283,640,420.31
  5. Step 5: Solve for x
    x = 283,640,420.31/17,706.38
  6. Step 6: Final answer
    x = 16,019.11

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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.