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Finding the Fourth Proportional to 17,661, 26,491.56 and 5,349

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Solution

The fourth proportional to 17,661, 26,491.56 and 5,349 is: 8,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661 : 26,491.56 = 5,349 : x
  2. Step 2: Convert to fraction form
    17,661/26,491.56 = 5,349/x
  3. Step 3: Cross multiply
    17,661x = 26,491.56 × 5,349
  4. Step 4: Simplify right side
    17,661x = 141,703,354.44
  5. Step 5: Solve for x
    x = 141,703,354.44/17,661
  6. Step 6: Final answer
    x = 8,023.52

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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.