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Finding the Fourth Proportional to 22,014, 33,025.86 and 8,163

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Solution

The fourth proportional to 22,014, 33,025.86 and 8,163 is: 12,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014 : 33,025.86 = 8,163 : x
  2. Step 2: Convert to fraction form
    22,014/33,025.86 = 8,163/x
  3. Step 3: Cross multiply
    22,014x = 33,025.86 × 8,163
  4. Step 4: Simplify right side
    22,014x = 269,590,095.18
  5. Step 5: Solve for x
    x = 269,590,095.18/22,014
  6. Step 6: Final answer
    x = 12,246.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.