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Finding the Fourth Proportional to 12,331.69, 18,497.00 and 3,566.41

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Solution

The fourth proportional to 12,331.69, 18,497.00 and 3,566.41 is: 5,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.69 : 18,497.00 = 3,566.41 : x
  2. Step 2: Convert to fraction form
    12,331.69/18,497.00 = 3,566.41/x
  3. Step 3: Cross multiply
    12,331.69x = 18,497.00 × 3,566.41
  4. Step 4: Simplify right side
    12,331.69x = 65,967,867.94
  5. Step 5: Solve for x
    x = 65,967,867.94/12,331.69
  6. Step 6: Final answer
    x = 5,349.46

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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.