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Finding the Fourth Proportional to 22,894.92, 34,342.56 and 8,103.90

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Solution

The fourth proportional to 22,894.92, 34,342.56 and 8,103.90 is: 12,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.92 : 34,342.56 = 8,103.90 : x
  2. Step 2: Convert to fraction form
    22,894.92/34,342.56 = 8,103.90/x
  3. Step 3: Cross multiply
    22,894.92x = 34,342.56 × 8,103.90
  4. Step 4: Simplify right side
    22,894.92x = 278,308,671.98
  5. Step 5: Solve for x
    x = 278,308,671.98/22,894.92
  6. Step 6: Final answer
    x = 12,155.91

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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.