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Finding the Fourth Proportional to 16,203, 22,360.14 and 8,751

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Solution

The fourth proportional to 16,203, 22,360.14 and 8,751 is: 12,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,203 : 22,360.14 = 8,751 : x
  2. Step 2: Convert to fraction form
    16,203/22,360.14 = 8,751/x
  3. Step 3: Cross multiply
    16,203x = 22,360.14 × 8,751
  4. Step 4: Simplify right side
    16,203x = 195,673,585.14
  5. Step 5: Solve for x
    x = 195,673,585.14/16,203
  6. Step 6: Final answer
    x = 12,076.38

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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.