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Finding the Fourth Proportional to 17,129, 25,693.50 and 4,817

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Solution

The fourth proportional to 17,129, 25,693.50 and 4,817 is: 7,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,129 : 25,693.50 = 4,817 : x
  2. Step 2: Convert to fraction form
    17,129/25,693.50 = 4,817/x
  3. Step 3: Cross multiply
    17,129x = 25,693.50 × 4,817
  4. Step 4: Simplify right side
    17,129x = 123,765,589.50
  5. Step 5: Solve for x
    x = 123,765,589.50/17,129
  6. Step 6: Final answer
    x = 7,225.50

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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.