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Finding the Fourth Proportional to 14,412.49, 21,627.07 and 6,091.97

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Solution

The fourth proportional to 14,412.49, 21,627.07 and 6,091.97 is: 9,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.49 : 21,627.07 = 6,091.97 : x
  2. Step 2: Convert to fraction form
    14,412.49/21,627.07 = 6,091.97/x
  3. Step 3: Cross multiply
    14,412.49x = 21,627.07 × 6,091.97
  4. Step 4: Simplify right side
    14,412.49x = 131,751,338.26
  5. Step 5: Solve for x
    x = 131,751,338.26/14,412.49
  6. Step 6: Final answer
    x = 9,141.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.