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Finding the Fourth Proportional to 18,674, 25,770.20 and 10,290.32

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Solution

The fourth proportional to 18,674, 25,770.20 and 10,290.32 is: 14,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,674 : 25,770.20 = 10,290.32 : x
  2. Step 2: Convert to fraction form
    18,674/25,770.20 = 10,290.32/x
  3. Step 3: Cross multiply
    18,674x = 25,770.20 × 10,290.32
  4. Step 4: Simplify right side
    18,674x = 265,183,604.46
  5. Step 5: Solve for x
    x = 265,183,604.46/18,674
  6. Step 6: Final answer
    x = 14,200.69

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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.