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Finding the Fourth Proportional to 21,175.26, 31,765.91 and 6,940.69

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Solution

The fourth proportional to 21,175.26, 31,765.91 and 6,940.69 is: 10,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.26 : 31,765.91 = 6,940.69 : x
  2. Step 2: Convert to fraction form
    21,175.26/31,765.91 = 6,940.69/x
  3. Step 3: Cross multiply
    21,175.26x = 31,765.91 × 6,940.69
  4. Step 4: Simplify right side
    21,175.26x = 220,477,219.76
  5. Step 5: Solve for x
    x = 220,477,219.76/21,175.26
  6. Step 6: Final answer
    x = 10,412.02

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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.