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Finding the Fourth Proportional to 13,384.10, 18,470.25 and 8,077.94

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Solution

The fourth proportional to 13,384.10, 18,470.25 and 8,077.94 is: 11,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.10 : 18,470.25 = 8,077.94 : x
  2. Step 2: Convert to fraction form
    13,384.10/18,470.25 = 8,077.94/x
  3. Step 3: Cross multiply
    13,384.10x = 18,470.25 × 8,077.94
  4. Step 4: Simplify right side
    13,384.10x = 149,201,571.29
  5. Step 5: Solve for x
    x = 149,201,571.29/13,384.10
  6. Step 6: Final answer
    x = 11,147.67

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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.