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Finding the Fourth Proportional to 11,304.46, 16,940.28 and 8,023.96

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Solution

The fourth proportional to 11,304.46, 16,940.28 and 8,023.96 is: 12,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304.46 : 16,940.28 = 8,023.96 : x
  2. Step 2: Convert to fraction form
    11,304.46/16,940.28 = 8,023.96/x
  3. Step 3: Cross multiply
    11,304.46x = 16,940.28 × 8,023.96
  4. Step 4: Simplify right side
    11,304.46x = 135,928,129.11
  5. Step 5: Solve for x
    x = 135,928,129.11/11,304.46
  6. Step 6: Final answer
    x = 12,024.29

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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.