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Finding the Fourth Proportional to 16,596, 22,896.20 and 10,626.70

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Solution

The fourth proportional to 16,596, 22,896.20 and 10,626.70 is: 14,660.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596 : 22,896.20 = 10,626.70 : x
  2. Step 2: Convert to fraction form
    16,596/22,896.20 = 10,626.70/x
  3. Step 3: Cross multiply
    16,596x = 22,896.20 × 10,626.70
  4. Step 4: Simplify right side
    16,596x = 243,311,048.54
  5. Step 5: Solve for x
    x = 243,311,048.54/16,596
  6. Step 6: Final answer
    x = 14,660.82

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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.