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Finding the Fourth Proportional to 20,196.90, 30,283.20 and 10,355.40

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Solution

The fourth proportional to 20,196.90, 30,283.20 and 10,355.40 is: 15,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.90 : 30,283.20 = 10,355.40 : x
  2. Step 2: Convert to fraction form
    20,196.90/30,283.20 = 10,355.40/x
  3. Step 3: Cross multiply
    20,196.90x = 30,283.20 × 10,355.40
  4. Step 4: Simplify right side
    20,196.90x = 313,594,649.28
  5. Step 5: Solve for x
    x = 313,594,649.28/20,196.90
  6. Step 6: Final answer
    x = 15,526.87

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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.