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Finding the Fourth Proportional to 22,965.98, 31,691.99 and 12,894.23

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Solution

The fourth proportional to 22,965.98, 31,691.99 and 12,894.23 is: 17,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.98 : 31,691.99 = 12,894.23 : x
  2. Step 2: Convert to fraction form
    22,965.98/31,691.99 = 12,894.23/x
  3. Step 3: Cross multiply
    22,965.98x = 31,691.99 × 12,894.23
  4. Step 4: Simplify right side
    22,965.98x = 408,643,919.68
  5. Step 5: Solve for x
    x = 408,643,919.68/22,965.98
  6. Step 6: Final answer
    x = 17,793.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.