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Finding the Fourth Proportional to 20,193.34, 30,296.80 and 10,329.96

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Solution

The fourth proportional to 20,193.34, 30,296.80 and 10,329.96 is: 15,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.34 : 30,296.80 = 10,329.96 : x
  2. Step 2: Convert to fraction form
    20,193.34/30,296.80 = 10,329.96/x
  3. Step 3: Cross multiply
    20,193.34x = 30,296.80 × 10,329.96
  4. Step 4: Simplify right side
    20,193.34x = 312,964,732.13
  5. Step 5: Solve for x
    x = 312,964,732.13/20,193.34
  6. Step 6: Final answer
    x = 15,498.41

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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.