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Finding the Fourth Proportional to 14,906.84, 20,571.71 and 8,192.88

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Solution

The fourth proportional to 14,906.84, 20,571.71 and 8,192.88 is: 11,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.84 : 20,571.71 = 8,192.88 : x
  2. Step 2: Convert to fraction form
    14,906.84/20,571.71 = 8,192.88/x
  3. Step 3: Cross multiply
    14,906.84x = 20,571.71 × 8,192.88
  4. Step 4: Simplify right side
    14,906.84x = 168,541,510.46
  5. Step 5: Solve for x
    x = 168,541,510.46/14,906.84
  6. Step 6: Final answer
    x = 11,306.32

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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.