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Finding the Fourth Proportional to 30,657.26, 42,305.82 and 18,740.54

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Solution

The fourth proportional to 30,657.26, 42,305.82 and 18,740.54 is: 25,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.26 : 42,305.82 = 18,740.54 : x
  2. Step 2: Convert to fraction form
    30,657.26/42,305.82 = 18,740.54/x
  3. Step 3: Cross multiply
    30,657.26x = 42,305.82 × 18,740.54
  4. Step 4: Simplify right side
    30,657.26x = 792,833,911.94
  5. Step 5: Solve for x
    x = 792,833,911.94/30,657.26
  6. Step 6: Final answer
    x = 25,861.21

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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.