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Finding the Fourth Proportional to 30,968.57, 42,736.85 and 16,821.41

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Solution

The fourth proportional to 30,968.57, 42,736.85 and 16,821.41 is: 23,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,968.57 : 42,736.85 = 16,821.41 : x
  2. Step 2: Convert to fraction form
    30,968.57/42,736.85 = 16,821.41/x
  3. Step 3: Cross multiply
    30,968.57x = 42,736.85 × 16,821.41
  4. Step 4: Simplify right side
    30,968.57x = 718,894,075.96
  5. Step 5: Solve for x
    x = 718,894,075.96/30,968.57
  6. Step 6: Final answer
    x = 23,213.67

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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.