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Finding the Fourth Proportional to 23,349.37, 32,221.49 and 12,739

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Solution

The fourth proportional to 23,349.37, 32,221.49 and 12,739 is: 17,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,349.37 : 32,221.49 = 12,739 : x
  2. Step 2: Convert to fraction form
    23,349.37/32,221.49 = 12,739/x
  3. Step 3: Cross multiply
    23,349.37x = 32,221.49 × 12,739
  4. Step 4: Simplify right side
    23,349.37x = 410,469,561.11
  5. Step 5: Solve for x
    x = 410,469,561.11/23,349.37
  6. Step 6: Final answer
    x = 17,579.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.