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Finding the Fourth Proportional to 27,770.96, 41,656.44 and 6,996.08

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Solution

The fourth proportional to 27,770.96, 41,656.44 and 6,996.08 is: 10,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.96 : 41,656.44 = 6,996.08 : x
  2. Step 2: Convert to fraction form
    27,770.96/41,656.44 = 6,996.08/x
  3. Step 3: Cross multiply
    27,770.96x = 41,656.44 × 6,996.08
  4. Step 4: Simplify right side
    27,770.96x = 291,431,786.76
  5. Step 5: Solve for x
    x = 291,431,786.76/27,770.96
  6. Step 6: Final answer
    x = 10,494.12

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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.