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Finding the Fourth Proportional to 23,777.10, 35,667.36 and 8,194.50

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Solution

The fourth proportional to 23,777.10, 35,667.36 and 8,194.50 is: 12,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.10 : 35,667.36 = 8,194.50 : x
  2. Step 2: Convert to fraction form
    23,777.10/35,667.36 = 8,194.50/x
  3. Step 3: Cross multiply
    23,777.10x = 35,667.36 × 8,194.50
  4. Step 4: Simplify right side
    23,777.10x = 292,276,181.52
  5. Step 5: Solve for x
    x = 292,276,181.52/23,777.10
  6. Step 6: Final answer
    x = 12,292.34

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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.