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Finding the Fourth Proportional to 17,084.52, 23,576.94 and 9,531

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Solution

The fourth proportional to 17,084.52, 23,576.94 and 9,531 is: 13,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.52 : 23,576.94 = 9,531 : x
  2. Step 2: Convert to fraction form
    17,084.52/23,576.94 = 9,531/x
  3. Step 3: Cross multiply
    17,084.52x = 23,576.94 × 9,531
  4. Step 4: Simplify right side
    17,084.52x = 224,711,815.14
  5. Step 5: Solve for x
    x = 224,711,815.14/17,084.52
  6. Step 6: Final answer
    x = 13,152.95

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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.