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Finding the Fourth Proportional to 14,107.26, 19,470.06 and 8,137.74

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Solution

The fourth proportional to 14,107.26, 19,470.06 and 8,137.74 is: 11,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.26 : 19,470.06 = 8,137.74 : x
  2. Step 2: Convert to fraction form
    14,107.26/19,470.06 = 8,137.74/x
  3. Step 3: Cross multiply
    14,107.26x = 19,470.06 × 8,137.74
  4. Step 4: Simplify right side
    14,107.26x = 158,442,286.06
  5. Step 5: Solve for x
    x = 158,442,286.06/14,107.26
  6. Step 6: Final answer
    x = 11,231.26

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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.