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Finding the Fourth Proportional to 22,897.62, 34,336.44 and 8,101.62

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Solution

The fourth proportional to 22,897.62, 34,336.44 and 8,101.62 is: 12,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.62 : 34,336.44 = 8,101.62 : x
  2. Step 2: Convert to fraction form
    22,897.62/34,336.44 = 8,101.62/x
  3. Step 3: Cross multiply
    22,897.62x = 34,336.44 × 8,101.62
  4. Step 4: Simplify right side
    22,897.62x = 278,180,789.03
  5. Step 5: Solve for x
    x = 278,180,789.03/22,897.62
  6. Step 6: Final answer
    x = 12,148.90

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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.