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Finding the Fourth Proportional to 17,127.44, 25,694.75 and 7,266.50

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Solution

The fourth proportional to 17,127.44, 25,694.75 and 7,266.50 is: 10,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,127.44 : 25,694.75 = 7,266.50 : x
  2. Step 2: Convert to fraction form
    17,127.44/25,694.75 = 7,266.50/x
  3. Step 3: Cross multiply
    17,127.44x = 25,694.75 × 7,266.50
  4. Step 4: Simplify right side
    17,127.44x = 186,710,736.07
  5. Step 5: Solve for x
    x = 186,710,736.07/17,127.44
  6. Step 6: Final answer
    x = 10,901.27

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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.