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Finding the Fourth Proportional to 23,819.85, 35,735.22 and 8,237.46

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Solution

The fourth proportional to 23,819.85, 35,735.22 and 8,237.46 is: 12,358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.85 : 35,735.22 = 8,237.46 : x
  2. Step 2: Convert to fraction form
    23,819.85/35,735.22 = 8,237.46/x
  3. Step 3: Cross multiply
    23,819.85x = 35,735.22 × 8,237.46
  4. Step 4: Simplify right side
    23,819.85x = 294,367,445.34
  5. Step 5: Solve for x
    x = 294,367,445.34/23,819.85
  6. Step 6: Final answer
    x = 12,358.07

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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.