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Finding the Fourth Proportional to 20,576.63, 28,395.77 and 11,145.20

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Solution

The fourth proportional to 20,576.63, 28,395.77 and 11,145.20 is: 15,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.63 : 28,395.77 = 11,145.20 : x
  2. Step 2: Convert to fraction form
    20,576.63/28,395.77 = 11,145.20/x
  3. Step 3: Cross multiply
    20,576.63x = 28,395.77 × 11,145.20
  4. Step 4: Simplify right side
    20,576.63x = 316,476,338.10
  5. Step 5: Solve for x
    x = 316,476,338.10/20,576.63
  6. Step 6: Final answer
    x = 15,380.38

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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.