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Finding the Fourth Proportional to 13,843.18, 20,752.42 and 5,076.06

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Solution

The fourth proportional to 13,843.18, 20,752.42 and 5,076.06 is: 7,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.18 : 20,752.42 = 5,076.06 : x
  2. Step 2: Convert to fraction form
    13,843.18/20,752.42 = 5,076.06/x
  3. Step 3: Cross multiply
    13,843.18x = 20,752.42 × 5,076.06
  4. Step 4: Simplify right side
    13,843.18x = 105,340,529.07
  5. Step 5: Solve for x
    x = 105,340,529.07/13,843.18
  6. Step 6: Final answer
    x = 7,609.56

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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.