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Finding the Fourth Proportional to 12,576.84, 18,851.90 and 5,989.11

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Solution

The fourth proportional to 12,576.84, 18,851.90 and 5,989.11 is: 8,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.84 : 18,851.90 = 5,989.11 : x
  2. Step 2: Convert to fraction form
    12,576.84/18,851.90 = 5,989.11/x
  3. Step 3: Cross multiply
    12,576.84x = 18,851.90 × 5,989.11
  4. Step 4: Simplify right side
    12,576.84x = 112,906,072.86
  5. Step 5: Solve for x
    x = 112,906,072.86/12,576.84
  6. Step 6: Final answer
    x = 8,977.30

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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.