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Finding the Fourth Proportional to 14,926.38, 20,575.41 and 11,143.80

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Solution

The fourth proportional to 14,926.38, 20,575.41 and 11,143.80 is: 15,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,926.38 : 20,575.41 = 11,143.80 : x
  2. Step 2: Convert to fraction form
    14,926.38/20,575.41 = 11,143.80/x
  3. Step 3: Cross multiply
    14,926.38x = 20,575.41 × 11,143.80
  4. Step 4: Simplify right side
    14,926.38x = 229,288,253.96
  5. Step 5: Solve for x
    x = 229,288,253.96/14,926.38
  6. Step 6: Final answer
    x = 15,361.28

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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.