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Finding the Fourth Proportional to 27,465.67, 41,206.20 and 7,744.33

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Solution

The fourth proportional to 27,465.67, 41,206.20 and 7,744.33 is: 11,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465.67 : 41,206.20 = 7,744.33 : x
  2. Step 2: Convert to fraction form
    27,465.67/41,206.20 = 7,744.33/x
  3. Step 3: Cross multiply
    27,465.67x = 41,206.20 × 7,744.33
  4. Step 4: Simplify right side
    27,465.67x = 319,114,410.85
  5. Step 5: Solve for x
    x = 319,114,410.85/27,465.67
  6. Step 6: Final answer
    x = 11,618.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.