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Finding the Fourth Proportional to 30,922.98, 42,673.72 and 17,493.96

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Solution

The fourth proportional to 30,922.98, 42,673.72 and 17,493.96 is: 24,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.98 : 42,673.72 = 17,493.96 : x
  2. Step 2: Convert to fraction form
    30,922.98/42,673.72 = 17,493.96/x
  3. Step 3: Cross multiply
    30,922.98x = 42,673.72 × 17,493.96
  4. Step 4: Simplify right side
    30,922.98x = 746,532,350.73
  5. Step 5: Solve for x
    x = 746,532,350.73/30,922.98
  6. Step 6: Final answer
    x = 24,141.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.