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Finding the Fourth Proportional to 13,814.58, 20,728.04 and 7,239.25

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Solution

The fourth proportional to 13,814.58, 20,728.04 and 7,239.25 is: 10,862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.58 : 20,728.04 = 7,239.25 : x
  2. Step 2: Convert to fraction form
    13,814.58/20,728.04 = 7,239.25/x
  3. Step 3: Cross multiply
    13,814.58x = 20,728.04 × 7,239.25
  4. Step 4: Simplify right side
    13,814.58x = 150,055,463.57
  5. Step 5: Solve for x
    x = 150,055,463.57/13,814.58
  6. Step 6: Final answer
    x = 10,862.11

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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.