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Finding the Fourth Proportional to 14,536.80, 21,805.20 and 13,672.80

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Solution

The fourth proportional to 14,536.80, 21,805.20 and 13,672.80 is: 20,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.80 : 21,805.20 = 13,672.80 : x
  2. Step 2: Convert to fraction form
    14,536.80/21,805.20 = 13,672.80/x
  3. Step 3: Cross multiply
    14,536.80x = 21,805.20 × 13,672.80
  4. Step 4: Simplify right side
    14,536.80x = 298,138,138.56
  5. Step 5: Solve for x
    x = 298,138,138.56/14,536.80
  6. Step 6: Final answer
    x = 20,509.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.