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Finding the Fourth Proportional to 20,782.88, 28,664.50 and 13,230.44

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Solution

The fourth proportional to 20,782.88, 28,664.50 and 13,230.44 is: 18,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.88 : 28,664.50 = 13,230.44 : x
  2. Step 2: Convert to fraction form
    20,782.88/28,664.50 = 13,230.44/x
  3. Step 3: Cross multiply
    20,782.88x = 28,664.50 × 13,230.44
  4. Step 4: Simplify right side
    20,782.88x = 379,243,947.38
  5. Step 5: Solve for x
    x = 379,243,947.38/20,782.88
  6. Step 6: Final answer
    x = 18,247.90

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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.