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Finding the Fourth Proportional to 30,997.26, 42,776.50 and 16,850.14

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Solution

The fourth proportional to 30,997.26, 42,776.50 and 16,850.14 is: 23,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.26 : 42,776.50 = 16,850.14 : x
  2. Step 2: Convert to fraction form
    30,997.26/42,776.50 = 16,850.14/x
  3. Step 3: Cross multiply
    30,997.26x = 42,776.50 × 16,850.14
  4. Step 4: Simplify right side
    30,997.26x = 720,790,013.71
  5. Step 5: Solve for x
    x = 720,790,013.71/30,997.26
  6. Step 6: Final answer
    x = 23,253.35

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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.