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Finding the Fourth Proportional to 13,026.98, 17,976.38 and 8,310.75

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Solution

The fourth proportional to 13,026.98, 17,976.38 and 8,310.75 is: 11,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.98 : 17,976.38 = 8,310.75 : x
  2. Step 2: Convert to fraction form
    13,026.98/17,976.38 = 8,310.75/x
  3. Step 3: Cross multiply
    13,026.98x = 17,976.38 × 8,310.75
  4. Step 4: Simplify right side
    13,026.98x = 149,397,158.53
  5. Step 5: Solve for x
    x = 149,397,158.53/13,026.98
  6. Step 6: Final answer
    x = 11,468.29

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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.