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Finding the Fourth Proportional to 13,072.14, 18,041.09 and 7,766.96

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Solution

The fourth proportional to 13,072.14, 18,041.09 and 7,766.96 is: 10,719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.14 : 18,041.09 = 7,766.96 : x
  2. Step 2: Convert to fraction form
    13,072.14/18,041.09 = 7,766.96/x
  3. Step 3: Cross multiply
    13,072.14x = 18,041.09 × 7,766.96
  4. Step 4: Simplify right side
    13,072.14x = 140,124,295.35
  5. Step 5: Solve for x
    x = 140,124,295.35/13,072.14
  6. Step 6: Final answer
    x = 10,719.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.