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Finding the Fourth Proportional to 17,084.69, 23,577 and 9,531.50

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Solution

The fourth proportional to 17,084.69, 23,577 and 9,531.50 is: 13,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.69 : 23,577 = 9,531.50 : x
  2. Step 2: Convert to fraction form
    17,084.69/23,577 = 9,531.50/x
  3. Step 3: Cross multiply
    17,084.69x = 23,577 × 9,531.50
  4. Step 4: Simplify right side
    17,084.69x = 224,724,175.50
  5. Step 5: Solve for x
    x = 224,724,175.50/17,084.69
  6. Step 6: Final answer
    x = 13,153.54

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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.