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Finding the Fourth Proportional to 17,849.16, 26,773.74 and 5,369.22

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Solution

The fourth proportional to 17,849.16, 26,773.74 and 5,369.22 is: 8,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,849.16 : 26,773.74 = 5,369.22 : x
  2. Step 2: Convert to fraction form
    17,849.16/26,773.74 = 5,369.22/x
  3. Step 3: Cross multiply
    17,849.16x = 26,773.74 × 5,369.22
  4. Step 4: Simplify right side
    17,849.16x = 143,754,100.28
  5. Step 5: Solve for x
    x = 143,754,100.28/17,849.16
  6. Step 6: Final answer
    x = 8,053.83

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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.