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Finding the Fourth Proportional to 12,517.69, 18,783.46 and 5,127.34

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Solution

The fourth proportional to 12,517.69, 18,783.46 and 5,127.34 is: 7,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,517.69 : 18,783.46 = 5,127.34 : x
  2. Step 2: Convert to fraction form
    12,517.69/18,783.46 = 5,127.34/x
  3. Step 3: Cross multiply
    12,517.69x = 18,783.46 × 5,127.34
  4. Step 4: Simplify right side
    12,517.69x = 96,309,185.80
  5. Step 5: Solve for x
    x = 96,309,185.80/12,517.69
  6. Step 6: Final answer
    x = 7,693.85

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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.