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Finding the Fourth Proportional to 12,146.68, 18,218.58 and 3,826.36

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Solution

The fourth proportional to 12,146.68, 18,218.58 and 3,826.36 is: 5,739.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.68 : 18,218.58 = 3,826.36 : x
  2. Step 2: Convert to fraction form
    12,146.68/18,218.58 = 3,826.36/x
  3. Step 3: Cross multiply
    12,146.68x = 18,218.58 × 3,826.36
  4. Step 4: Simplify right side
    12,146.68x = 69,710,845.77
  5. Step 5: Solve for x
    x = 69,710,845.77/12,146.68
  6. Step 6: Final answer
    x = 5,739.09

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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.