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Finding the Fourth Proportional to 22,965.82, 31,694.67 and 12,894.93

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Solution

The fourth proportional to 22,965.82, 31,694.67 and 12,894.93 is: 17,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.82 : 31,694.67 = 12,894.93 : x
  2. Step 2: Convert to fraction form
    22,965.82/31,694.67 = 12,894.93/x
  3. Step 3: Cross multiply
    22,965.82x = 31,694.67 × 12,894.93
  4. Step 4: Simplify right side
    22,965.82x = 408,700,551.02
  5. Step 5: Solve for x
    x = 408,700,551.02/22,965.82
  6. Step 6: Final answer
    x = 17,796.04

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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.