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Finding the Fourth Proportional to 14,556.80, 21,838.48 and 5,197.78

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Solution

The fourth proportional to 14,556.80, 21,838.48 and 5,197.78 is: 7,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556.80 : 21,838.48 = 5,197.78 : x
  2. Step 2: Convert to fraction form
    14,556.80/21,838.48 = 5,197.78/x
  3. Step 3: Cross multiply
    14,556.80x = 21,838.48 × 5,197.78
  4. Step 4: Simplify right side
    14,556.80x = 113,511,614.57
  5. Step 5: Solve for x
    x = 113,511,614.57/14,556.80
  6. Step 6: Final answer
    x = 7,797.84

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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.