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Finding the Fourth Proportional to 13,165.51, 18,174.38 and 8,392.01

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Solution

The fourth proportional to 13,165.51, 18,174.38 and 8,392.01 is: 11,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.51 : 18,174.38 = 8,392.01 : x
  2. Step 2: Convert to fraction form
    13,165.51/18,174.38 = 8,392.01/x
  3. Step 3: Cross multiply
    13,165.51x = 18,174.38 × 8,392.01
  4. Step 4: Simplify right side
    13,165.51x = 152,519,578.70
  5. Step 5: Solve for x
    x = 152,519,578.70/13,165.51
  6. Step 6: Final answer
    x = 11,584.78

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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.