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Finding the Fourth Proportional to 17,515, 26,272.50 and 5,203

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Solution

The fourth proportional to 17,515, 26,272.50 and 5,203 is: 7,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,515 : 26,272.50 = 5,203 : x
  2. Step 2: Convert to fraction form
    17,515/26,272.50 = 5,203/x
  3. Step 3: Cross multiply
    17,515x = 26,272.50 × 5,203
  4. Step 4: Simplify right side
    17,515x = 136,695,817.50
  5. Step 5: Solve for x
    x = 136,695,817.50/17,515
  6. Step 6: Final answer
    x = 7,804.50

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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.