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Finding the Fourth Proportional to 27,674.99, 41,486.94 and 11,031

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Solution

The fourth proportional to 27,674.99, 41,486.94 and 11,031 is: 16,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.99 : 41,486.94 = 11,031 : x
  2. Step 2: Convert to fraction form
    27,674.99/41,486.94 = 11,031/x
  3. Step 3: Cross multiply
    27,674.99x = 41,486.94 × 11,031
  4. Step 4: Simplify right side
    27,674.99x = 457,642,435.14
  5. Step 5: Solve for x
    x = 457,642,435.14/27,674.99
  6. Step 6: Final answer
    x = 16,536.32

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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.