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Finding the Fourth Proportional to 16,283.77, 22,472.03 and 9,208.82

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Solution

The fourth proportional to 16,283.77, 22,472.03 and 9,208.82 is: 12,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.77 : 22,472.03 = 9,208.82 : x
  2. Step 2: Convert to fraction form
    16,283.77/22,472.03 = 9,208.82/x
  3. Step 3: Cross multiply
    16,283.77x = 22,472.03 × 9,208.82
  4. Step 4: Simplify right side
    16,283.77x = 206,940,879.30
  5. Step 5: Solve for x
    x = 206,940,879.30/16,283.77
  6. Step 6: Final answer
    x = 12,708.41

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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.