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Finding the Fourth Proportional to 12,770.36, 17,622.90 and 7,181.36

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Solution

The fourth proportional to 12,770.36, 17,622.90 and 7,181.36 is: 9,910.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.36 : 17,622.90 = 7,181.36 : x
  2. Step 2: Convert to fraction form
    12,770.36/17,622.90 = 7,181.36/x
  3. Step 3: Cross multiply
    12,770.36x = 17,622.90 × 7,181.36
  4. Step 4: Simplify right side
    12,770.36x = 126,556,389.14
  5. Step 5: Solve for x
    x = 126,556,389.14/12,770.36
  6. Step 6: Final answer
    x = 9,910.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.