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Finding the Fourth Proportional to 16,465.97, 22,723.07 and 8,912.31

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Solution

The fourth proportional to 16,465.97, 22,723.07 and 8,912.31 is: 12,299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.97 : 22,723.07 = 8,912.31 : x
  2. Step 2: Convert to fraction form
    16,465.97/22,723.07 = 8,912.31/x
  3. Step 3: Cross multiply
    16,465.97x = 22,723.07 × 8,912.31
  4. Step 4: Simplify right side
    16,465.97x = 202,514,999.43
  5. Step 5: Solve for x
    x = 202,514,999.43/16,465.97
  6. Step 6: Final answer
    x = 12,299.01

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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.