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Finding the Fourth Proportional to 22,383.70, 33,539.10 and 16,478.80

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Solution

The fourth proportional to 22,383.70, 33,539.10 and 16,478.80 is: 24,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,383.70 : 33,539.10 = 16,478.80 : x
  2. Step 2: Convert to fraction form
    22,383.70/33,539.10 = 16,478.80/x
  3. Step 3: Cross multiply
    22,383.70x = 33,539.10 × 16,478.80
  4. Step 4: Simplify right side
    22,383.70x = 552,684,121.08
  5. Step 5: Solve for x
    x = 552,684,121.08/22,383.70
  6. Step 6: Final answer
    x = 24,691.37

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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.