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Finding the Fourth Proportional to 27,770.65, 41,645.34 and 9,996.21

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Solution

The fourth proportional to 27,770.65, 41,645.34 and 9,996.21 is: 14,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.65 : 41,645.34 = 9,996.21 : x
  2. Step 2: Convert to fraction form
    27,770.65/41,645.34 = 9,996.21/x
  3. Step 3: Cross multiply
    27,770.65x = 41,645.34 × 9,996.21
  4. Step 4: Simplify right side
    27,770.65x = 416,295,564.16
  5. Step 5: Solve for x
    x = 416,295,564.16/27,770.65
  6. Step 6: Final answer
    x = 14,990.49

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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.