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Finding the Fourth Proportional to 16,654.56, 22,983.30 and 9,202.56

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Solution

The fourth proportional to 16,654.56, 22,983.30 and 9,202.56 is: 12,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,654.56 : 22,983.30 = 9,202.56 : x
  2. Step 2: Convert to fraction form
    16,654.56/22,983.30 = 9,202.56/x
  3. Step 3: Cross multiply
    16,654.56x = 22,983.30 × 9,202.56
  4. Step 4: Simplify right side
    16,654.56x = 211,505,197.25
  5. Step 5: Solve for x
    x = 211,505,197.25/16,654.56
  6. Step 6: Final answer
    x = 12,699.54

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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.