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Finding the Fourth Proportional to 20,130.42, 30,195.71 and 6,982.83

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Solution

The fourth proportional to 20,130.42, 30,195.71 and 6,982.83 is: 10,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130.42 : 30,195.71 = 6,982.83 : x
  2. Step 2: Convert to fraction form
    20,130.42/30,195.71 = 6,982.83/x
  3. Step 3: Cross multiply
    20,130.42x = 30,195.71 × 6,982.83
  4. Step 4: Simplify right side
    20,130.42x = 210,851,605.50
  5. Step 5: Solve for x
    x = 210,851,605.50/20,130.42
  6. Step 6: Final answer
    x = 10,474.28

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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.