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Finding the Fourth Proportional to 21,202.16, 31,806.90 and 7,162.29

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Solution

The fourth proportional to 21,202.16, 31,806.90 and 7,162.29 is: 10,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.16 : 31,806.90 = 7,162.29 : x
  2. Step 2: Convert to fraction form
    21,202.16/31,806.90 = 7,162.29/x
  3. Step 3: Cross multiply
    21,202.16x = 31,806.90 × 7,162.29
  4. Step 4: Simplify right side
    21,202.16x = 227,810,122.53
  5. Step 5: Solve for x
    x = 227,810,122.53/21,202.16
  6. Step 6: Final answer
    x = 10,744.67

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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.