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Finding the Fourth Proportional to 26,957.29, 40,419.08 and 8,231.11

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Solution

The fourth proportional to 26,957.29, 40,419.08 and 8,231.11 is: 12,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,957.29 : 40,419.08 = 8,231.11 : x
  2. Step 2: Convert to fraction form
    26,957.29/40,419.08 = 8,231.11/x
  3. Step 3: Cross multiply
    26,957.29x = 40,419.08 × 8,231.11
  4. Step 4: Simplify right side
    26,957.29x = 332,693,893.58
  5. Step 5: Solve for x
    x = 332,693,893.58/26,957.29
  6. Step 6: Final answer
    x = 12,341.52

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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.