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Finding the Fourth Proportional to 18,526.75, 27,795.33 and 7,441.22

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Solution

The fourth proportional to 18,526.75, 27,795.33 and 7,441.22 is: 11,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,526.75 : 27,795.33 = 7,441.22 : x
  2. Step 2: Convert to fraction form
    18,526.75/27,795.33 = 7,441.22/x
  3. Step 3: Cross multiply
    18,526.75x = 27,795.33 × 7,441.22
  4. Step 4: Simplify right side
    18,526.75x = 206,831,165.50
  5. Step 5: Solve for x
    x = 206,831,165.50/18,526.75
  6. Step 6: Final answer
    x = 11,163.92

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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.