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Finding the Fourth Proportional to 30,951.87, 42,713.76 and 18,205.59

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Solution

The fourth proportional to 30,951.87, 42,713.76 and 18,205.59 is: 25,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951.87 : 42,713.76 = 18,205.59 : x
  2. Step 2: Convert to fraction form
    30,951.87/42,713.76 = 18,205.59/x
  3. Step 3: Cross multiply
    30,951.87x = 42,713.76 × 18,205.59
  4. Step 4: Simplify right side
    30,951.87x = 777,629,201.92
  5. Step 5: Solve for x
    x = 777,629,201.92/30,951.87
  6. Step 6: Final answer
    x = 25,123.82

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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.