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Finding the Fourth Proportional to 13,728.69, 20,569.53 and 7,493.08

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Solution

The fourth proportional to 13,728.69, 20,569.53 and 7,493.08 is: 11,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.69 : 20,569.53 = 7,493.08 : x
  2. Step 2: Convert to fraction form
    13,728.69/20,569.53 = 7,493.08/x
  3. Step 3: Cross multiply
    13,728.69x = 20,569.53 × 7,493.08
  4. Step 4: Simplify right side
    13,728.69x = 154,129,121.41
  5. Step 5: Solve for x
    x = 154,129,121.41/13,728.69
  6. Step 6: Final answer
    x = 11,226.79

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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.