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Finding the Fourth Proportional to 13,797.84, 20,696.76 and 8,252.81

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Solution

The fourth proportional to 13,797.84, 20,696.76 and 8,252.81 is: 12,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.84 : 20,696.76 = 8,252.81 : x
  2. Step 2: Convert to fraction form
    13,797.84/20,696.76 = 8,252.81/x
  3. Step 3: Cross multiply
    13,797.84x = 20,696.76 × 8,252.81
  4. Step 4: Simplify right side
    13,797.84x = 170,806,324.41
  5. Step 5: Solve for x
    x = 170,806,324.41/13,797.84
  6. Step 6: Final answer
    x = 12,379.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.