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Finding the Fourth Proportional to 16,906.56, 23,331.12 and 9,454.56

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Solution

The fourth proportional to 16,906.56, 23,331.12 and 9,454.56 is: 13,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.56 : 23,331.12 = 9,454.56 : x
  2. Step 2: Convert to fraction form
    16,906.56/23,331.12 = 9,454.56/x
  3. Step 3: Cross multiply
    16,906.56x = 23,331.12 × 9,454.56
  4. Step 4: Simplify right side
    16,906.56x = 220,585,473.91
  5. Step 5: Solve for x
    x = 220,585,473.91/16,906.56
  6. Step 6: Final answer
    x = 13,047.33

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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.