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Finding the Fourth Proportional to 21,201.24, 31,805.53 and 7,161.37

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Solution

The fourth proportional to 21,201.24, 31,805.53 and 7,161.37 is: 10,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.24 : 31,805.53 = 7,161.37 : x
  2. Step 2: Convert to fraction form
    21,201.24/31,805.53 = 7,161.37/x
  3. Step 3: Cross multiply
    21,201.24x = 31,805.53 × 7,161.37
  4. Step 4: Simplify right side
    21,201.24x = 227,771,209.06
  5. Step 5: Solve for x
    x = 227,771,209.06/21,201.24
  6. Step 6: Final answer
    x = 10,743.30

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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.