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Finding the Fourth Proportional to 20,357.75, 30,538.44 and 7,210.23

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Solution

The fourth proportional to 20,357.75, 30,538.44 and 7,210.23 is: 10,815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,357.75 : 30,538.44 = 7,210.23 : x
  2. Step 2: Convert to fraction form
    20,357.75/30,538.44 = 7,210.23/x
  3. Step 3: Cross multiply
    20,357.75x = 30,538.44 × 7,210.23
  4. Step 4: Simplify right side
    20,357.75x = 220,189,176.24
  5. Step 5: Solve for x
    x = 220,189,176.24/20,357.75
  6. Step 6: Final answer
    x = 10,815.99

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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.