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Finding the Fourth Proportional to 17,503, 26,254.50 and 5,191

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Solution

The fourth proportional to 17,503, 26,254.50 and 5,191 is: 7,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,503 : 26,254.50 = 5,191 : x
  2. Step 2: Convert to fraction form
    17,503/26,254.50 = 5,191/x
  3. Step 3: Cross multiply
    17,503x = 26,254.50 × 5,191
  4. Step 4: Simplify right side
    17,503x = 136,287,109.50
  5. Step 5: Solve for x
    x = 136,287,109.50/17,503
  6. Step 6: Final answer
    x = 7,786.50

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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.