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Finding the Fourth Proportional to 20,197.14, 30,300.62 and 6,871.02

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Solution

The fourth proportional to 20,197.14, 30,300.62 and 6,871.02 is: 10,308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.14 : 30,300.62 = 6,871.02 : x
  2. Step 2: Convert to fraction form
    20,197.14/30,300.62 = 6,871.02/x
  3. Step 3: Cross multiply
    20,197.14x = 30,300.62 × 6,871.02
  4. Step 4: Simplify right side
    20,197.14x = 208,196,018.05
  5. Step 5: Solve for x
    x = 208,196,018.05/20,197.14
  6. Step 6: Final answer
    x = 10,308.19

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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.