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Finding the Fourth Proportional to 16,474.23, 22,734.48 and 8,920.65

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Solution

The fourth proportional to 16,474.23, 22,734.48 and 8,920.65 is: 12,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.23 : 22,734.48 = 8,920.65 : x
  2. Step 2: Convert to fraction form
    16,474.23/22,734.48 = 8,920.65/x
  3. Step 3: Cross multiply
    16,474.23x = 22,734.48 × 8,920.65
  4. Step 4: Simplify right side
    16,474.23x = 202,806,339.01
  5. Step 5: Solve for x
    x = 202,806,339.01/16,474.23
  6. Step 6: Final answer
    x = 12,310.52

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1.5x scale

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.