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Finding the Fourth Proportional to 23,774.40, 35,667.24 and 8,191.56

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Solution

The fourth proportional to 23,774.40, 35,667.24 and 8,191.56 is: 12,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.40 : 35,667.24 = 8,191.56 : x
  2. Step 2: Convert to fraction form
    23,774.40/35,667.24 = 8,191.56/x
  3. Step 3: Cross multiply
    23,774.40x = 35,667.24 × 8,191.56
  4. Step 4: Simplify right side
    23,774.40x = 292,170,336.49
  5. Step 5: Solve for x
    x = 292,170,336.49/23,774.40
  6. Step 6: Final answer
    x = 12,289.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.