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Finding the Fourth Proportional to 16,474.10, 22,734.32 and 8,920.51

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Solution

The fourth proportional to 16,474.10, 22,734.32 and 8,920.51 is: 12,310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.10 : 22,734.32 = 8,920.51 : x
  2. Step 2: Convert to fraction form
    16,474.10/22,734.32 = 8,920.51/x
  3. Step 3: Cross multiply
    16,474.10x = 22,734.32 × 8,920.51
  4. Step 4: Simplify right side
    16,474.10x = 202,801,627.46
  5. Step 5: Solve for x
    x = 202,801,627.46/16,474.10
  6. Step 6: Final answer
    x = 12,310.33

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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.