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Finding the Fourth Proportional to 22,974, 31,689 and 16,589.96

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Solution

The fourth proportional to 22,974, 31,689 and 16,589.96 is: 22,883.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974 : 31,689 = 16,589.96 : x
  2. Step 2: Convert to fraction form
    22,974/31,689 = 16,589.96/x
  3. Step 3: Cross multiply
    22,974x = 31,689 × 16,589.96
  4. Step 4: Simplify right side
    22,974x = 525,719,242.44
  5. Step 5: Solve for x
    x = 525,719,242.44/22,974
  6. Step 6: Final answer
    x = 22,883.23

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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.