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Finding the Fourth Proportional to 20,358.25, 30,676.05 and 16,741.49

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Solution

The fourth proportional to 20,358.25, 30,676.05 and 16,741.49 is: 25,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,358.25 : 30,676.05 = 16,741.49 : x
  2. Step 2: Convert to fraction form
    20,358.25/30,676.05 = 16,741.49/x
  3. Step 3: Cross multiply
    20,358.25x = 30,676.05 × 16,741.49
  4. Step 4: Simplify right side
    20,358.25x = 513,562,784.31
  5. Step 5: Solve for x
    x = 513,562,784.31/20,358.25
  6. Step 6: Final answer
    x = 25,226.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.