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Finding the Fourth Proportional to 21,203.24, 31,805.76 and 7,163.60

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Solution

The fourth proportional to 21,203.24, 31,805.76 and 7,163.60 is: 10,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,203.24 : 31,805.76 = 7,163.60 : x
  2. Step 2: Convert to fraction form
    21,203.24/31,805.76 = 7,163.60/x
  3. Step 3: Cross multiply
    21,203.24x = 31,805.76 × 7,163.60
  4. Step 4: Simplify right side
    21,203.24x = 227,843,742.34
  5. Step 5: Solve for x
    x = 227,843,742.34/21,203.24
  6. Step 6: Final answer
    x = 10,745.70

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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.