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Finding the Fourth Proportional to 14,540.67, 21,804.21 and 5,769.63

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Solution

The fourth proportional to 14,540.67, 21,804.21 and 5,769.63 is: 8,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540.67 : 21,804.21 = 5,769.63 : x
  2. Step 2: Convert to fraction form
    14,540.67/21,804.21 = 5,769.63/x
  3. Step 3: Cross multiply
    14,540.67x = 21,804.21 × 5,769.63
  4. Step 4: Simplify right side
    14,540.67x = 125,802,224.14
  5. Step 5: Solve for x
    x = 125,802,224.14/14,540.67
  6. Step 6: Final answer
    x = 8,651.75

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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.