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Finding the Fourth Proportional to 17,082.57, 23,572.80 and 9,912.70

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Solution

The fourth proportional to 17,082.57, 23,572.80 and 9,912.70 is: 13,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.57 : 23,572.80 = 9,912.70 : x
  2. Step 2: Convert to fraction form
    17,082.57/23,572.80 = 9,912.70/x
  3. Step 3: Cross multiply
    17,082.57x = 23,572.80 × 9,912.70
  4. Step 4: Simplify right side
    17,082.57x = 233,670,094.56
  5. Step 5: Solve for x
    x = 233,670,094.56/17,082.57
  6. Step 6: Final answer
    x = 13,678.86

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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.