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Finding the Fourth Proportional to 23,778.09, 35,667.14 and 8,194.50

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Solution

The fourth proportional to 23,778.09, 35,667.14 and 8,194.50 is: 12,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.09 : 35,667.14 = 8,194.50 : x
  2. Step 2: Convert to fraction form
    23,778.09/35,667.14 = 8,194.50/x
  3. Step 3: Cross multiply
    23,778.09x = 35,667.14 × 8,194.50
  4. Step 4: Simplify right side
    23,778.09x = 292,274,337.76
  5. Step 5: Solve for x
    x = 292,274,337.76/23,778.09
  6. Step 6: Final answer
    x = 12,291.75

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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.