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Finding the Fourth Proportional to 11,846.41, 17,766.04 and 9,761.24

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Solution

The fourth proportional to 11,846.41, 17,766.04 and 9,761.24 is: 14,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.41 : 17,766.04 = 9,761.24 : x
  2. Step 2: Convert to fraction form
    11,846.41/17,766.04 = 9,761.24/x
  3. Step 3: Cross multiply
    11,846.41x = 17,766.04 × 9,761.24
  4. Step 4: Simplify right side
    11,846.41x = 173,418,580.29
  5. Step 5: Solve for x
    x = 173,418,580.29/11,846.41
  6. Step 6: Final answer
    x = 14,638.91

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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.