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Finding the Fourth Proportional to 14,906.76, 20,571.72 and 8,192.74

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Solution

The fourth proportional to 14,906.76, 20,571.72 and 8,192.74 is: 11,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.76 : 20,571.72 = 8,192.74 : x
  2. Step 2: Convert to fraction form
    14,906.76/20,571.72 = 8,192.74/x
  3. Step 3: Cross multiply
    14,906.76x = 20,571.72 × 8,192.74
  4. Step 4: Simplify right side
    14,906.76x = 168,538,753.31
  5. Step 5: Solve for x
    x = 168,538,753.31/14,906.76
  6. Step 6: Final answer
    x = 11,306.20

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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.