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Finding the Fourth Proportional to 12,682.60, 18,989.34 and 6,513.64

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Solution

The fourth proportional to 12,682.60, 18,989.34 and 6,513.64 is: 9,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.60 : 18,989.34 = 6,513.64 : x
  2. Step 2: Convert to fraction form
    12,682.60/18,989.34 = 6,513.64/x
  3. Step 3: Cross multiply
    12,682.60x = 18,989.34 × 6,513.64
  4. Step 4: Simplify right side
    12,682.60x = 123,689,724.60
  5. Step 5: Solve for x
    x = 123,689,724.60/12,682.60
  6. Step 6: Final answer
    x = 9,752.71

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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.