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Finding the Fourth Proportional to 16,654.50, 22,983.22 and 9,202.50

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Solution

The fourth proportional to 16,654.50, 22,983.22 and 9,202.50 is: 12,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,654.50 : 22,983.22 = 9,202.50 : x
  2. Step 2: Convert to fraction form
    16,654.50/22,983.22 = 9,202.50/x
  3. Step 3: Cross multiply
    16,654.50x = 22,983.22 × 9,202.50
  4. Step 4: Simplify right side
    16,654.50x = 211,503,082.05
  5. Step 5: Solve for x
    x = 211,503,082.05/16,654.50
  6. Step 6: Final answer
    x = 12,699.46

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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.