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Finding the Fourth Proportional to 21,147.44, 31,719.30 and 12,825

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Solution

The fourth proportional to 21,147.44, 31,719.30 and 12,825 is: 19,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.44 : 31,719.30 = 12,825 : x
  2. Step 2: Convert to fraction form
    21,147.44/31,719.30 = 12,825/x
  3. Step 3: Cross multiply
    21,147.44x = 31,719.30 × 12,825
  4. Step 4: Simplify right side
    21,147.44x = 406,800,022.50
  5. Step 5: Solve for x
    x = 406,800,022.50/21,147.44
  6. Step 6: Final answer
    x = 19,236.37

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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.