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Finding the Fourth Proportional to 20,193.17, 30,295.92 and 10,339.41

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Solution

The fourth proportional to 20,193.17, 30,295.92 and 10,339.41 is: 15,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.17 : 30,295.92 = 10,339.41 : x
  2. Step 2: Convert to fraction form
    20,193.17/30,295.92 = 10,339.41/x
  3. Step 3: Cross multiply
    20,193.17x = 30,295.92 × 10,339.41
  4. Step 4: Simplify right side
    20,193.17x = 313,242,090.59
  5. Step 5: Solve for x
    x = 313,242,090.59/20,193.17
  6. Step 6: Final answer
    x = 15,512.28

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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.