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Finding the Fourth Proportional to 20,218.80, 30,328.23 and 7,071.15

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Solution

The fourth proportional to 20,218.80, 30,328.23 and 7,071.15 is: 10,606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.80 : 30,328.23 = 7,071.15 : x
  2. Step 2: Convert to fraction form
    20,218.80/30,328.23 = 7,071.15/x
  3. Step 3: Cross multiply
    20,218.80x = 30,328.23 × 7,071.15
  4. Step 4: Simplify right side
    20,218.80x = 214,455,463.56
  5. Step 5: Solve for x
    x = 214,455,463.56/20,218.80
  6. Step 6: Final answer
    x = 10,606.74

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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.