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Finding the Fourth Proportional to 20,902.98, 31,391.13 and 16,228.26

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Solution

The fourth proportional to 20,902.98, 31,391.13 and 16,228.26 is: 24,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.98 : 31,391.13 = 16,228.26 : x
  2. Step 2: Convert to fraction form
    20,902.98/31,391.13 = 16,228.26/x
  3. Step 3: Cross multiply
    20,902.98x = 31,391.13 × 16,228.26
  4. Step 4: Simplify right side
    20,902.98x = 509,423,419.33
  5. Step 5: Solve for x
    x = 509,423,419.33/20,902.98
  6. Step 6: Final answer
    x = 24,370.85

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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.