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Finding the Fourth Proportional to 17,082.54, 23,574.99 and 9,530

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Solution

The fourth proportional to 17,082.54, 23,574.99 and 9,530 is: 13,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.54 : 23,574.99 = 9,530 : x
  2. Step 2: Convert to fraction form
    17,082.54/23,574.99 = 9,530/x
  3. Step 3: Cross multiply
    17,082.54x = 23,574.99 × 9,530
  4. Step 4: Simplify right side
    17,082.54x = 224,669,654.70
  5. Step 5: Solve for x
    x = 224,669,654.70/17,082.54
  6. Step 6: Final answer
    x = 13,152.01

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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.