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Finding the Fourth Proportional to 13,384.26, 18,470.75 and 8,078.04

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Solution

The fourth proportional to 13,384.26, 18,470.75 and 8,078.04 is: 11,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.26 : 18,470.75 = 8,078.04 : x
  2. Step 2: Convert to fraction form
    13,384.26/18,470.75 = 8,078.04/x
  3. Step 3: Cross multiply
    13,384.26x = 18,470.75 × 8,078.04
  4. Step 4: Simplify right side
    13,384.26x = 149,207,416.94
  5. Step 5: Solve for x
    x = 149,207,416.94/13,384.26
  6. Step 6: Final answer
    x = 11,147.98

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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.