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Finding the Fourth Proportional to 21,325.80, 31,998.30 and 10,228.20

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Solution

The fourth proportional to 21,325.80, 31,998.30 and 10,228.20 is: 15,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,325.80 : 31,998.30 = 10,228.20 : x
  2. Step 2: Convert to fraction form
    21,325.80/31,998.30 = 10,228.20/x
  3. Step 3: Cross multiply
    21,325.80x = 31,998.30 × 10,228.20
  4. Step 4: Simplify right side
    21,325.80x = 327,285,012.06
  5. Step 5: Solve for x
    x = 327,285,012.06/21,325.80
  6. Step 6: Final answer
    x = 15,346.90

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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.