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Finding the Fourth Proportional to 13,384.26, 18,470.52 and 8,077.86

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Solution

The fourth proportional to 13,384.26, 18,470.52 and 8,077.86 is: 11,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.26 : 18,470.52 = 8,077.86 : x
  2. Step 2: Convert to fraction form
    13,384.26/18,470.52 = 8,077.86/x
  3. Step 3: Cross multiply
    13,384.26x = 18,470.52 × 8,077.86
  4. Step 4: Simplify right side
    13,384.26x = 149,202,274.69
  5. Step 5: Solve for x
    x = 149,202,274.69/13,384.26
  6. Step 6: Final answer
    x = 11,147.59

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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.