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Finding the Fourth Proportional to 20,544.24, 30,813.98 and 5,754.34

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Solution

The fourth proportional to 20,544.24, 30,813.98 and 5,754.34 is: 8,630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544.24 : 30,813.98 = 5,754.34 : x
  2. Step 2: Convert to fraction form
    20,544.24/30,813.98 = 5,754.34/x
  3. Step 3: Cross multiply
    20,544.24x = 30,813.98 × 5,754.34
  4. Step 4: Simplify right side
    20,544.24x = 177,314,117.67
  5. Step 5: Solve for x
    x = 177,314,117.67/20,544.24
  6. Step 6: Final answer
    x = 8,630.84

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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.