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Finding the Fourth Proportional to 12,305.30, 18,455.96 and 3,538.22

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Solution

The fourth proportional to 12,305.30, 18,455.96 and 3,538.22 is: 5,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.30 : 18,455.96 = 3,538.22 : x
  2. Step 2: Convert to fraction form
    12,305.30/18,455.96 = 3,538.22/x
  3. Step 3: Cross multiply
    12,305.30x = 18,455.96 × 3,538.22
  4. Step 4: Simplify right side
    12,305.30x = 65,301,246.79
  5. Step 5: Solve for x
    x = 65,301,246.79/12,305.30
  6. Step 6: Final answer
    x = 5,306.76

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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.