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Finding the Fourth Proportional to 30,968.16, 42,736.07 and 16,821

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Solution

The fourth proportional to 30,968.16, 42,736.07 and 16,821 is: 23,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,968.16 : 42,736.07 = 16,821 : x
  2. Step 2: Convert to fraction form
    30,968.16/42,736.07 = 16,821/x
  3. Step 3: Cross multiply
    30,968.16x = 42,736.07 × 16,821
  4. Step 4: Simplify right side
    30,968.16x = 718,863,433.47
  5. Step 5: Solve for x
    x = 718,863,433.47/30,968.16
  6. Step 6: Final answer
    x = 23,212.98

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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.