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Finding the Fourth Proportional to 14,078.26, 19,435.71 and 9,608.68

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Solution

The fourth proportional to 14,078.26, 19,435.71 and 9,608.68 is: 13,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.26 : 19,435.71 = 9,608.68 : x
  2. Step 2: Convert to fraction form
    14,078.26/19,435.71 = 9,608.68/x
  3. Step 3: Cross multiply
    14,078.26x = 19,435.71 × 9,608.68
  4. Step 4: Simplify right side
    14,078.26x = 186,751,517.96
  5. Step 5: Solve for x
    x = 186,751,517.96/14,078.26
  6. Step 6: Final answer
    x = 13,265.24

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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.