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Finding the Fourth Proportional to 13,494.18, 18,625.31 and 9,194.38

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Solution

The fourth proportional to 13,494.18, 18,625.31 and 9,194.38 is: 12,690.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.18 : 18,625.31 = 9,194.38 : x
  2. Step 2: Convert to fraction form
    13,494.18/18,625.31 = 9,194.38/x
  3. Step 3: Cross multiply
    13,494.18x = 18,625.31 × 9,194.38
  4. Step 4: Simplify right side
    13,494.18x = 171,248,131.79
  5. Step 5: Solve for x
    x = 171,248,131.79/13,494.18
  6. Step 6: Final answer
    x = 12,690.52

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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.