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Finding the Fourth Proportional to 20,200.53, 30,314.62 and 7,052.90

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Solution

The fourth proportional to 20,200.53, 30,314.62 and 7,052.90 is: 10,584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.53 : 30,314.62 = 7,052.90 : x
  2. Step 2: Convert to fraction form
    20,200.53/30,314.62 = 7,052.90/x
  3. Step 3: Cross multiply
    20,200.53x = 30,314.62 × 7,052.90
  4. Step 4: Simplify right side
    20,200.53x = 213,805,983.40
  5. Step 5: Solve for x
    x = 213,805,983.40/20,200.53
  6. Step 6: Final answer
    x = 10,584.18

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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.