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Finding the Fourth Proportional to 23,092.92, 34,618.60 and 8,298.36

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Solution

The fourth proportional to 23,092.92, 34,618.60 and 8,298.36 is: 12,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,092.92 : 34,618.60 = 8,298.36 : x
  2. Step 2: Convert to fraction form
    23,092.92/34,618.60 = 8,298.36/x
  3. Step 3: Cross multiply
    23,092.92x = 34,618.60 × 8,298.36
  4. Step 4: Simplify right side
    23,092.92x = 287,277,605.50
  5. Step 5: Solve for x
    x = 287,277,605.50/23,092.92
  6. Step 6: Final answer
    x = 12,440.07

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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.