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Finding the Fourth Proportional to 20,456.49, 30,671.06 and 16,512.60

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Solution

The fourth proportional to 20,456.49, 30,671.06 and 16,512.60 is: 24,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.49 : 30,671.06 = 16,512.60 : x
  2. Step 2: Convert to fraction form
    20,456.49/30,671.06 = 16,512.60/x
  3. Step 3: Cross multiply
    20,456.49x = 30,671.06 × 16,512.60
  4. Step 4: Simplify right side
    20,456.49x = 506,458,945.36
  5. Step 5: Solve for x
    x = 506,458,945.36/20,456.49
  6. Step 6: Final answer
    x = 24,757.86

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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.