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Finding the Fourth Proportional to 17,577, 26,369.82 and 5,265

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Solution

The fourth proportional to 17,577, 26,369.82 and 5,265 is: 7,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577 : 26,369.82 = 5,265 : x
  2. Step 2: Convert to fraction form
    17,577/26,369.82 = 5,265/x
  3. Step 3: Cross multiply
    17,577x = 26,369.82 × 5,265
  4. Step 4: Simplify right side
    17,577x = 138,837,102.30
  5. Step 5: Solve for x
    x = 138,837,102.30/17,577
  6. Step 6: Final answer
    x = 7,898.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.