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Finding the Fourth Proportional to 27,309.69, 40,974.53 and 11,518.67

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Solution

The fourth proportional to 27,309.69, 40,974.53 and 11,518.67 is: 17,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,309.69 : 40,974.53 = 11,518.67 : x
  2. Step 2: Convert to fraction form
    27,309.69/40,974.53 = 11,518.67/x
  3. Step 3: Cross multiply
    27,309.69x = 40,974.53 × 11,518.67
  4. Step 4: Simplify right side
    27,309.69x = 471,972,134.32
  5. Step 5: Solve for x
    x = 471,972,134.32/27,309.69
  6. Step 6: Final answer
    x = 17,282.22

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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.