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Finding the Fourth Proportional to 20,992.56, 31,470 and 19,166.41

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Solution

The fourth proportional to 20,992.56, 31,470 and 19,166.41 is: 28,732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992.56 : 31,470 = 19,166.41 : x
  2. Step 2: Convert to fraction form
    20,992.56/31,470 = 19,166.41/x
  3. Step 3: Cross multiply
    20,992.56x = 31,470 × 19,166.41
  4. Step 4: Simplify right side
    20,992.56x = 603,166,922.70
  5. Step 5: Solve for x
    x = 603,166,922.70/20,992.56
  6. Step 6: Final answer
    x = 28,732.41

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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.