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Finding the Fourth Proportional to 18,128, 27,194.88 and 8,267.20

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Solution

The fourth proportional to 18,128, 27,194.88 and 8,267.20 is: 12,402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,128 : 27,194.88 = 8,267.20 : x
  2. Step 2: Convert to fraction form
    18,128/27,194.88 = 8,267.20/x
  3. Step 3: Cross multiply
    18,128x = 27,194.88 × 8,267.20
  4. Step 4: Simplify right side
    18,128x = 224,825,511.94
  5. Step 5: Solve for x
    x = 224,825,511.94/18,128
  6. Step 6: Final answer
    x = 12,402.11

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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.