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Finding the Fourth Proportional to 11,633.68, 17,455.18 and 4,238.66

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Solution

The fourth proportional to 11,633.68, 17,455.18 and 4,238.66 is: 6,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.68 : 17,455.18 = 4,238.66 : x
  2. Step 2: Convert to fraction form
    11,633.68/17,455.18 = 4,238.66/x
  3. Step 3: Cross multiply
    11,633.68x = 17,455.18 × 4,238.66
  4. Step 4: Simplify right side
    11,633.68x = 73,986,573.26
  5. Step 5: Solve for x
    x = 73,986,573.26/11,633.68
  6. Step 6: Final answer
    x = 6,359.69

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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.