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Finding the Fourth Proportional to 11,354.42, 17,138.27 and 11,354.42

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Solution

The fourth proportional to 11,354.42, 17,138.27 and 11,354.42 is: 17,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.42 : 17,138.27 = 11,354.42 : x
  2. Step 2: Convert to fraction form
    11,354.42/17,138.27 = 11,354.42/x
  3. Step 3: Cross multiply
    11,354.42x = 17,138.27 × 11,354.42
  4. Step 4: Simplify right side
    11,354.42x = 194,595,115.65
  5. Step 5: Solve for x
    x = 194,595,115.65/11,354.42
  6. Step 6: Final answer
    x = 17,138.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.