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Finding the Fourth Proportional to 17,082.80, 25,643.40 and 13,204.40

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Solution

The fourth proportional to 17,082.80, 25,643.40 and 13,204.40 is: 19,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.80 : 25,643.40 = 13,204.40 : x
  2. Step 2: Convert to fraction form
    17,082.80/25,643.40 = 13,204.40/x
  3. Step 3: Cross multiply
    17,082.80x = 25,643.40 × 13,204.40
  4. Step 4: Simplify right side
    17,082.80x = 338,605,710.96
  5. Step 5: Solve for x
    x = 338,605,710.96/17,082.80
  6. Step 6: Final answer
    x = 19,821.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.