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Finding the Fourth Proportional to 14,906.87, 20,571.87 and 8,192.67

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Solution

The fourth proportional to 14,906.87, 20,571.87 and 8,192.67 is: 11,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.87 : 20,571.87 = 8,192.67 : x
  2. Step 2: Convert to fraction form
    14,906.87/20,571.87 = 8,192.67/x
  3. Step 3: Cross multiply
    14,906.87x = 20,571.87 × 8,192.67
  4. Step 4: Simplify right side
    14,906.87x = 168,538,565.40
  5. Step 5: Solve for x
    x = 168,538,565.40/14,906.87
  6. Step 6: Final answer
    x = 11,306.10

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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.