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Finding the Fourth Proportional to 20,803.98, 31,205.68 and 19,474.23

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Solution

The fourth proportional to 20,803.98, 31,205.68 and 19,474.23 is: 29,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.98 : 31,205.68 = 19,474.23 : x
  2. Step 2: Convert to fraction form
    20,803.98/31,205.68 = 19,474.23/x
  3. Step 3: Cross multiply
    20,803.98x = 31,205.68 × 19,474.23
  4. Step 4: Simplify right side
    20,803.98x = 607,706,589.63
  5. Step 5: Solve for x
    x = 607,706,589.63/20,803.98
  6. Step 6: Final answer
    x = 29,211.07

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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.