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Finding the Fourth Proportional to 20,121.66, 30,182.66 and 7,638.34

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Solution

The fourth proportional to 20,121.66, 30,182.66 and 7,638.34 is: 11,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121.66 : 30,182.66 = 7,638.34 : x
  2. Step 2: Convert to fraction form
    20,121.66/30,182.66 = 7,638.34/x
  3. Step 3: Cross multiply
    20,121.66x = 30,182.66 × 7,638.34
  4. Step 4: Simplify right side
    20,121.66x = 230,545,230.08
  5. Step 5: Solve for x
    x = 230,545,230.08/20,121.66
  6. Step 6: Final answer
    x = 11,457.57

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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.