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Finding the Fourth Proportional to 23,186.56, 34,786.86 and 8,402.44

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Solution

The fourth proportional to 23,186.56, 34,786.86 and 8,402.44 is: 12,606.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,186.56 : 34,786.86 = 8,402.44 : x
  2. Step 2: Convert to fraction form
    23,186.56/34,786.86 = 8,402.44/x
  3. Step 3: Cross multiply
    23,186.56x = 34,786.86 × 8,402.44
  4. Step 4: Simplify right side
    23,186.56x = 292,294,503.94
  5. Step 5: Solve for x
    x = 292,294,503.94/23,186.56
  6. Step 6: Final answer
    x = 12,606.20

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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.