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Finding the Fourth Proportional to 12,051.68, 18,080.16 and 3,617.82

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Solution

The fourth proportional to 12,051.68, 18,080.16 and 3,617.82 is: 5,427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.68 : 18,080.16 = 3,617.82 : x
  2. Step 2: Convert to fraction form
    12,051.68/18,080.16 = 3,617.82/x
  3. Step 3: Cross multiply
    12,051.68x = 18,080.16 × 3,617.82
  4. Step 4: Simplify right side
    12,051.68x = 65,410,764.45
  5. Step 5: Solve for x
    x = 65,410,764.45/12,051.68
  6. Step 6: Final answer
    x = 5,427.52

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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.