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Finding the Fourth Proportional to 20,496.40, 30,754.20 and 10,646.80

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Solution

The fourth proportional to 20,496.40, 30,754.20 and 10,646.80 is: 15,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496.40 : 30,754.20 = 10,646.80 : x
  2. Step 2: Convert to fraction form
    20,496.40/30,754.20 = 10,646.80/x
  3. Step 3: Cross multiply
    20,496.40x = 30,754.20 × 10,646.80
  4. Step 4: Simplify right side
    20,496.40x = 327,433,816.56
  5. Step 5: Solve for x
    x = 327,433,816.56/20,496.40
  6. Step 6: Final answer
    x = 15,975.19

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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.