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Finding the Fourth Proportional to 20,555.71, 30,832.92 and 6,513.77

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Solution

The fourth proportional to 20,555.71, 30,832.92 and 6,513.77 is: 9,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,555.71 : 30,832.92 = 6,513.77 : x
  2. Step 2: Convert to fraction form
    20,555.71/30,832.92 = 6,513.77/x
  3. Step 3: Cross multiply
    20,555.71x = 30,832.92 × 6,513.77
  4. Step 4: Simplify right side
    20,555.71x = 200,838,626.39
  5. Step 5: Solve for x
    x = 200,838,626.39/20,555.71
  6. Step 6: Final answer
    x = 9,770.46

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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.