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Finding the Fourth Proportional to 14,540.80, 21,804.80 and 5,772.80

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Solution

The fourth proportional to 14,540.80, 21,804.80 and 5,772.80 is: 8,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540.80 : 21,804.80 = 5,772.80 : x
  2. Step 2: Convert to fraction form
    14,540.80/21,804.80 = 5,772.80/x
  3. Step 3: Cross multiply
    14,540.80x = 21,804.80 × 5,772.80
  4. Step 4: Simplify right side
    14,540.80x = 125,874,749.44
  5. Step 5: Solve for x
    x = 125,874,749.44/14,540.80
  6. Step 6: Final answer
    x = 8,656.66

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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.