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Finding the Fourth Proportional to 23,819.67, 35,699.94 and 8,219.07

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Solution

The fourth proportional to 23,819.67, 35,699.94 and 8,219.07 is: 12,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.67 : 35,699.94 = 8,219.07 : x
  2. Step 2: Convert to fraction form
    23,819.67/35,699.94 = 8,219.07/x
  3. Step 3: Cross multiply
    23,819.67x = 35,699.94 × 8,219.07
  4. Step 4: Simplify right side
    23,819.67x = 293,420,305.86
  5. Step 5: Solve for x
    x = 293,420,305.86/23,819.67
  6. Step 6: Final answer
    x = 12,318.40

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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.