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Finding the Fourth Proportional to 16,806, 23,192.28 and 9,355.76

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Solution

The fourth proportional to 16,806, 23,192.28 and 9,355.76 is: 12,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806 : 23,192.28 = 9,355.76 : x
  2. Step 2: Convert to fraction form
    16,806/23,192.28 = 9,355.76/x
  3. Step 3: Cross multiply
    16,806x = 23,192.28 × 9,355.76
  4. Step 4: Simplify right side
    16,806x = 216,981,405.53
  5. Step 5: Solve for x
    x = 216,981,405.53/16,806
  6. Step 6: Final answer
    x = 12,910.95

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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.