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Finding the Fourth Proportional to 13,821.44, 20,714.84 and 9,866.48

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Solution

The fourth proportional to 13,821.44, 20,714.84 and 9,866.48 is: 14,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.44 : 20,714.84 = 9,866.48 : x
  2. Step 2: Convert to fraction form
    13,821.44/20,714.84 = 9,866.48/x
  3. Step 3: Cross multiply
    13,821.44x = 20,714.84 × 9,866.48
  4. Step 4: Simplify right side
    13,821.44x = 204,382,554.56
  5. Step 5: Solve for x
    x = 204,382,554.56/13,821.44
  6. Step 6: Final answer
    x = 14,787.36

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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.