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Finding the Fourth Proportional to 20,461.80, 30,696.30 and 7,321.80

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Solution

The fourth proportional to 20,461.80, 30,696.30 and 7,321.80 is: 10,983.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461.80 : 30,696.30 = 7,321.80 : x
  2. Step 2: Convert to fraction form
    20,461.80/30,696.30 = 7,321.80/x
  3. Step 3: Cross multiply
    20,461.80x = 30,696.30 × 7,321.80
  4. Step 4: Simplify right side
    20,461.80x = 224,752,169.34
  5. Step 5: Solve for x
    x = 224,752,169.34/20,461.80
  6. Step 6: Final answer
    x = 10,983.99

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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.