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Finding the Fourth Proportional to 11,820.56, 17,729.46 and 3,054.78

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Solution

The fourth proportional to 11,820.56, 17,729.46 and 3,054.78 is: 4,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.56 : 17,729.46 = 3,054.78 : x
  2. Step 2: Convert to fraction form
    11,820.56/17,729.46 = 3,054.78/x
  3. Step 3: Cross multiply
    11,820.56x = 17,729.46 × 3,054.78
  4. Step 4: Simplify right side
    11,820.56x = 54,159,599.82
  5. Step 5: Solve for x
    x = 54,159,599.82/11,820.56
  6. Step 6: Final answer
    x = 4,581.82

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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.