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Finding the Fourth Proportional to 20,017.64, 30,017.90 and 6,871.34

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Solution

The fourth proportional to 20,017.64, 30,017.90 and 6,871.34 is: 10,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,017.64 : 30,017.90 = 6,871.34 : x
  2. Step 2: Convert to fraction form
    20,017.64/30,017.90 = 6,871.34/x
  3. Step 3: Cross multiply
    20,017.64x = 30,017.90 × 6,871.34
  4. Step 4: Simplify right side
    20,017.64x = 206,263,196.99
  5. Step 5: Solve for x
    x = 206,263,196.99/20,017.64
  6. Step 6: Final answer
    x = 10,304.07

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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.