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Finding the Fourth Proportional to 26,676.30, 40,014.47 and 7,969.47

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Solution

The fourth proportional to 26,676.30, 40,014.47 and 7,969.47 is: 11,954.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,676.30 : 40,014.47 = 7,969.47 : x
  2. Step 2: Convert to fraction form
    26,676.30/40,014.47 = 7,969.47/x
  3. Step 3: Cross multiply
    26,676.30x = 40,014.47 × 7,969.47
  4. Step 4: Simplify right side
    26,676.30x = 318,894,078.38
  5. Step 5: Solve for x
    x = 318,894,078.38/26,676.30
  6. Step 6: Final answer
    x = 11,954.21

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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.