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Finding the Fourth Proportional to 16,469.75, 22,728.22 and 8,916.08

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Solution

The fourth proportional to 16,469.75, 22,728.22 and 8,916.08 is: 12,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.75 : 22,728.22 = 8,916.08 : x
  2. Step 2: Convert to fraction form
    16,469.75/22,728.22 = 8,916.08/x
  3. Step 3: Cross multiply
    16,469.75x = 22,728.22 × 8,916.08
  4. Step 4: Simplify right side
    16,469.75x = 202,646,514.14
  5. Step 5: Solve for x
    x = 202,646,514.14/16,469.75
  6. Step 6: Final answer
    x = 12,304.17

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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.