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Finding the Fourth Proportional to 20,200.32, 30,299.40 and 7,052.40

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Solution

The fourth proportional to 20,200.32, 30,299.40 and 7,052.40 is: 10,578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.32 : 30,299.40 = 7,052.40 : x
  2. Step 2: Convert to fraction form
    20,200.32/30,299.40 = 7,052.40/x
  3. Step 3: Cross multiply
    20,200.32x = 30,299.40 × 7,052.40
  4. Step 4: Simplify right side
    20,200.32x = 213,683,488.56
  5. Step 5: Solve for x
    x = 213,683,488.56/20,200.32
  6. Step 6: Final answer
    x = 10,578.22

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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.