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Finding the Fourth Proportional to 27,216.50, 40,826.16 and 7,494.62

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Solution

The fourth proportional to 27,216.50, 40,826.16 and 7,494.62 is: 11,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,216.50 : 40,826.16 = 7,494.62 : x
  2. Step 2: Convert to fraction form
    27,216.50/40,826.16 = 7,494.62/x
  3. Step 3: Cross multiply
    27,216.50x = 40,826.16 × 7,494.62
  4. Step 4: Simplify right side
    27,216.50x = 305,976,351.13
  5. Step 5: Solve for x
    x = 305,976,351.13/27,216.50
  6. Step 6: Final answer
    x = 11,242.31

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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.