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Finding the Fourth Proportional to 17,511, 26,227.88 and 14,474.54

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Solution

The fourth proportional to 17,511, 26,227.88 and 14,474.54 is: 21,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,511 : 26,227.88 = 14,474.54 : x
  2. Step 2: Convert to fraction form
    17,511/26,227.88 = 14,474.54/x
  3. Step 3: Cross multiply
    17,511x = 26,227.88 × 14,474.54
  4. Step 4: Simplify right side
    17,511x = 379,636,498.18
  5. Step 5: Solve for x
    x = 379,636,498.18/17,511
  6. Step 6: Final answer
    x = 21,679.89

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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.