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Finding the Fourth Proportional to 12,224.36, 16,852.38 and 8,686.28

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Solution

The fourth proportional to 12,224.36, 16,852.38 and 8,686.28 is: 11,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.36 : 16,852.38 = 8,686.28 : x
  2. Step 2: Convert to fraction form
    12,224.36/16,852.38 = 8,686.28/x
  3. Step 3: Cross multiply
    12,224.36x = 16,852.38 × 8,686.28
  4. Step 4: Simplify right side
    12,224.36x = 146,384,491.35
  5. Step 5: Solve for x
    x = 146,384,491.35/12,224.36
  6. Step 6: Final answer
    x = 11,974.82

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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.