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Finding the Fourth Proportional to 23,819.76, 35,729.37 and 8,237.16

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Solution

The fourth proportional to 23,819.76, 35,729.37 and 8,237.16 is: 12,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.76 : 35,729.37 = 8,237.16 : x
  2. Step 2: Convert to fraction form
    23,819.76/35,729.37 = 8,237.16/x
  3. Step 3: Cross multiply
    23,819.76x = 35,729.37 × 8,237.16
  4. Step 4: Simplify right side
    23,819.76x = 294,308,537.39
  5. Step 5: Solve for x
    x = 294,308,537.39/23,819.76
  6. Step 6: Final answer
    x = 12,355.65

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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.