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Finding the Fourth Proportional to 17,084.16, 23,576.80 and 9,632

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Solution

The fourth proportional to 17,084.16, 23,576.80 and 9,632 is: 13,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.16 : 23,576.80 = 9,632 : x
  2. Step 2: Convert to fraction form
    17,084.16/23,576.80 = 9,632/x
  3. Step 3: Cross multiply
    17,084.16x = 23,576.80 × 9,632
  4. Step 4: Simplify right side
    17,084.16x = 227,091,737.60
  5. Step 5: Solve for x
    x = 227,091,737.60/17,084.16
  6. Step 6: Final answer
    x = 13,292.53

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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.