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Finding the Fourth Proportional to 11,666.93, 17,497.16 and 3,231.41

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Solution

The fourth proportional to 11,666.93, 17,497.16 and 3,231.41 is: 4,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.93 : 17,497.16 = 3,231.41 : x
  2. Step 2: Convert to fraction form
    11,666.93/17,497.16 = 3,231.41/x
  3. Step 3: Cross multiply
    11,666.93x = 17,497.16 × 3,231.41
  4. Step 4: Simplify right side
    11,666.93x = 56,540,549.62
  5. Step 5: Solve for x
    x = 56,540,549.62/11,666.93
  6. Step 6: Final answer
    x = 4,846.23

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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.