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Finding the Fourth Proportional to 8,231.70, 12,345.34 and 2,308.23

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Solution

The fourth proportional to 8,231.70, 12,345.34 and 2,308.23 is: 3,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.70 : 12,345.34 = 2,308.23 : x
  2. Step 2: Convert to fraction form
    8,231.70/12,345.34 = 2,308.23/x
  3. Step 3: Cross multiply
    8,231.70x = 12,345.34 × 2,308.23
  4. Step 4: Simplify right side
    8,231.70x = 28,495,884.15
  5. Step 5: Solve for x
    x = 28,495,884.15/8,231.70
  6. Step 6: Final answer
    x = 3,461.73

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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.