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Finding the Fourth Proportional to 13,174.17, 18,189.87 and 8,145.29

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Solution

The fourth proportional to 13,174.17, 18,189.87 and 8,145.29 is: 11,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.17 : 18,189.87 = 8,145.29 : x
  2. Step 2: Convert to fraction form
    13,174.17/18,189.87 = 8,145.29/x
  3. Step 3: Cross multiply
    13,174.17x = 18,189.87 × 8,145.29
  4. Step 4: Simplify right side
    13,174.17x = 148,161,675.26
  5. Step 5: Solve for x
    x = 148,161,675.26/13,174.17
  6. Step 6: Final answer
    x = 11,246.38

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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.