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Finding the Fourth Proportional to 17,675, 26,512.50 and 5,363

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Solution

The fourth proportional to 17,675, 26,512.50 and 5,363 is: 8,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,675 : 26,512.50 = 5,363 : x
  2. Step 2: Convert to fraction form
    17,675/26,512.50 = 5,363/x
  3. Step 3: Cross multiply
    17,675x = 26,512.50 × 5,363
  4. Step 4: Simplify right side
    17,675x = 142,186,537.50
  5. Step 5: Solve for x
    x = 142,186,537.50/17,675
  6. Step 6: Final answer
    x = 8,044.50

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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.