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Finding the Fourth Proportional to 20,303.24, 30,467.82 and 7,833.32

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Solution

The fourth proportional to 20,303.24, 30,467.82 and 7,833.32 is: 11,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,303.24 : 30,467.82 = 7,833.32 : x
  2. Step 2: Convert to fraction form
    20,303.24/30,467.82 = 7,833.32/x
  3. Step 3: Cross multiply
    20,303.24x = 30,467.82 × 7,833.32
  4. Step 4: Simplify right side
    20,303.24x = 238,664,183.76
  5. Step 5: Solve for x
    x = 238,664,183.76/20,303.24
  6. Step 6: Final answer
    x = 11,754.98

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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.