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Finding the Fourth Proportional to 12,546.34, 18,820.23 and 3,780.34

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Solution

The fourth proportional to 12,546.34, 18,820.23 and 3,780.34 is: 5,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.34 : 18,820.23 = 3,780.34 : x
  2. Step 2: Convert to fraction form
    12,546.34/18,820.23 = 3,780.34/x
  3. Step 3: Cross multiply
    12,546.34x = 18,820.23 × 3,780.34
  4. Step 4: Simplify right side
    12,546.34x = 71,146,868.28
  5. Step 5: Solve for x
    x = 71,146,868.28/12,546.34
  6. Step 6: Final answer
    x = 5,670.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.