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Finding the Fourth Proportional to 16,603.82, 22,912.97 and 9,529.68

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Solution

The fourth proportional to 16,603.82, 22,912.97 and 9,529.68 is: 13,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,603.82 : 22,912.97 = 9,529.68 : x
  2. Step 2: Convert to fraction form
    16,603.82/22,912.97 = 9,529.68/x
  3. Step 3: Cross multiply
    16,603.82x = 22,912.97 × 9,529.68
  4. Step 4: Simplify right side
    16,603.82x = 218,353,224.30
  5. Step 5: Solve for x
    x = 218,353,224.30/16,603.82
  6. Step 6: Final answer
    x = 13,150.79

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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.