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Finding the Fourth Proportional to 16,473.89, 22,734 and 8,920.31

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Solution

The fourth proportional to 16,473.89, 22,734 and 8,920.31 is: 12,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473.89 : 22,734 = 8,920.31 : x
  2. Step 2: Convert to fraction form
    16,473.89/22,734 = 8,920.31/x
  3. Step 3: Cross multiply
    16,473.89x = 22,734 × 8,920.31
  4. Step 4: Simplify right side
    16,473.89x = 202,794,327.54
  5. Step 5: Solve for x
    x = 202,794,327.54/16,473.89
  6. Step 6: Final answer
    x = 12,310.05

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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.