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Finding the Fourth Proportional to 17,906.15, 24,709.10 and 9,947.67

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Solution

The fourth proportional to 17,906.15, 24,709.10 and 9,947.67 is: 13,727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.15 : 24,709.10 = 9,947.67 : x
  2. Step 2: Convert to fraction form
    17,906.15/24,709.10 = 9,947.67/x
  3. Step 3: Cross multiply
    17,906.15x = 24,709.10 × 9,947.67
  4. Step 4: Simplify right side
    17,906.15x = 245,797,923.06
  5. Step 5: Solve for x
    x = 245,797,923.06/17,906.15
  6. Step 6: Final answer
    x = 13,727.02

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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.