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Finding the Fourth Proportional to 23,104.76, 34,653.92 and 8,311.54

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Solution

The fourth proportional to 23,104.76, 34,653.92 and 8,311.54 is: 12,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104.76 : 34,653.92 = 8,311.54 : x
  2. Step 2: Convert to fraction form
    23,104.76/34,653.92 = 8,311.54/x
  3. Step 3: Cross multiply
    23,104.76x = 34,653.92 × 8,311.54
  4. Step 4: Simplify right side
    23,104.76x = 288,027,442.24
  5. Step 5: Solve for x
    x = 288,027,442.24/23,104.76
  6. Step 6: Final answer
    x = 12,466.15

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1.5x scale

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.