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Finding the Fourth Proportional to 21,202.19, 31,803.27 and 7,162.25

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Solution

The fourth proportional to 21,202.19, 31,803.27 and 7,162.25 is: 10,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.19 : 31,803.27 = 7,162.25 : x
  2. Step 2: Convert to fraction form
    21,202.19/31,803.27 = 7,162.25/x
  3. Step 3: Cross multiply
    21,202.19x = 31,803.27 × 7,162.25
  4. Step 4: Simplify right side
    21,202.19x = 227,782,811.54
  5. Step 5: Solve for x
    x = 227,782,811.54/21,202.19
  6. Step 6: Final answer
    x = 10,743.36

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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.