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Finding the Fourth Proportional to 13,814.58, 20,724.92 and 5,049.48

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Solution

The fourth proportional to 13,814.58, 20,724.92 and 5,049.48 is: 7,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.58 : 20,724.92 = 5,049.48 : x
  2. Step 2: Convert to fraction form
    13,814.58/20,724.92 = 5,049.48/x
  3. Step 3: Cross multiply
    13,814.58x = 20,724.92 × 5,049.48
  4. Step 4: Simplify right side
    13,814.58x = 104,650,069.04
  5. Step 5: Solve for x
    x = 104,650,069.04/13,814.58
  6. Step 6: Final answer
    x = 7,575.33

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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.