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Finding the Fourth Proportional to 22,097.50, 33,147.87 and 8,246.50

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Solution

The fourth proportional to 22,097.50, 33,147.87 and 8,246.50 is: 12,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.50 : 33,147.87 = 8,246.50 : x
  2. Step 2: Convert to fraction form
    22,097.50/33,147.87 = 8,246.50/x
  3. Step 3: Cross multiply
    22,097.50x = 33,147.87 × 8,246.50
  4. Step 4: Simplify right side
    22,097.50x = 273,353,909.96
  5. Step 5: Solve for x
    x = 273,353,909.96/22,097.50
  6. Step 6: Final answer
    x = 12,370.35

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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.