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Finding the Fourth Proportional to 17,841.06, 26,786.16 and 9,082.08

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Solution

The fourth proportional to 17,841.06, 26,786.16 and 9,082.08 is: 13,635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,841.06 : 26,786.16 = 9,082.08 : x
  2. Step 2: Convert to fraction form
    17,841.06/26,786.16 = 9,082.08/x
  3. Step 3: Cross multiply
    17,841.06x = 26,786.16 × 9,082.08
  4. Step 4: Simplify right side
    17,841.06x = 243,274,048.01
  5. Step 5: Solve for x
    x = 243,274,048.01/17,841.06
  6. Step 6: Final answer
    x = 13,635.63

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Why These Related Problems?

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