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Finding the Fourth Proportional to 30,965.50, 42,732.60 and 16,818.34

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Solution

The fourth proportional to 30,965.50, 42,732.60 and 16,818.34 is: 23,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.50 : 42,732.60 = 16,818.34 : x
  2. Step 2: Convert to fraction form
    30,965.50/42,732.60 = 16,818.34/x
  3. Step 3: Cross multiply
    30,965.50x = 42,732.60 × 16,818.34
  4. Step 4: Simplify right side
    30,965.50x = 718,691,395.88
  5. Step 5: Solve for x
    x = 718,691,395.88/30,965.50
  6. Step 6: Final answer
    x = 23,209.42

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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.