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Finding the Fourth Proportional to 17,786.99, 24,557.38 and 11,082.42

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Solution

The fourth proportional to 17,786.99, 24,557.38 and 11,082.42 is: 15,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.99 : 24,557.38 = 11,082.42 : x
  2. Step 2: Convert to fraction form
    17,786.99/24,557.38 = 11,082.42/x
  3. Step 3: Cross multiply
    17,786.99x = 24,557.38 × 11,082.42
  4. Step 4: Simplify right side
    17,786.99x = 272,155,171.55
  5. Step 5: Solve for x
    x = 272,155,171.55/17,786.99
  6. Step 6: Final answer
    x = 15,300.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.