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Finding the Fourth Proportional to 19,728.90, 27,225.19 and 11,230.38

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Solution

The fourth proportional to 19,728.90, 27,225.19 and 11,230.38 is: 15,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728.90 : 27,225.19 = 11,230.38 : x
  2. Step 2: Convert to fraction form
    19,728.90/27,225.19 = 11,230.38/x
  3. Step 3: Cross multiply
    19,728.90x = 27,225.19 × 11,230.38
  4. Step 4: Simplify right side
    19,728.90x = 305,749,229.27
  5. Step 5: Solve for x
    x = 305,749,229.27/19,728.90
  6. Step 6: Final answer
    x = 15,497.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.