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Finding the Fourth Proportional to 26,271.78, 36,241.56 and 17,774.28

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Solution

The fourth proportional to 26,271.78, 36,241.56 and 17,774.28 is: 24,519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,271.78 : 36,241.56 = 17,774.28 : x
  2. Step 2: Convert to fraction form
    26,271.78/36,241.56 = 17,774.28/x
  3. Step 3: Cross multiply
    26,271.78x = 36,241.56 × 17,774.28
  4. Step 4: Simplify right side
    26,271.78x = 644,167,635.08
  5. Step 5: Solve for x
    x = 644,167,635.08/26,271.78
  6. Step 6: Final answer
    x = 24,519.38

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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.