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Finding the Fourth Proportional to 22,965.86, 31,690.43 and 12,895.41

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Solution

The fourth proportional to 22,965.86, 31,690.43 and 12,895.41 is: 17,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.86 : 31,690.43 = 12,895.41 : x
  2. Step 2: Convert to fraction form
    22,965.86/31,690.43 = 12,895.41/x
  3. Step 3: Cross multiply
    22,965.86x = 31,690.43 × 12,895.41
  4. Step 4: Simplify right side
    22,965.86x = 408,661,087.93
  5. Step 5: Solve for x
    x = 408,661,087.93/22,965.86
  6. Step 6: Final answer
    x = 17,794.29

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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.