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Finding the Fourth Proportional to 11,243.50, 16,826.19 and 9,245.26

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Solution

The fourth proportional to 11,243.50, 16,826.19 and 9,245.26 is: 13,835.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,243.50 : 16,826.19 = 9,245.26 : x
  2. Step 2: Convert to fraction form
    11,243.50/16,826.19 = 9,245.26/x
  3. Step 3: Cross multiply
    11,243.50x = 16,826.19 × 9,245.26
  4. Step 4: Simplify right side
    11,243.50x = 155,562,501.36
  5. Step 5: Solve for x
    x = 155,562,501.36/11,243.50
  6. Step 6: Final answer
    x = 13,835.77

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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.