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Finding the Fourth Proportional to 17,289.28, 25,944 and 6,898.24

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Solution

The fourth proportional to 17,289.28, 25,944 and 6,898.24 is: 10,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,289.28 : 25,944 = 6,898.24 : x
  2. Step 2: Convert to fraction form
    17,289.28/25,944 = 6,898.24/x
  3. Step 3: Cross multiply
    17,289.28x = 25,944 × 6,898.24
  4. Step 4: Simplify right side
    17,289.28x = 178,967,938.56
  5. Step 5: Solve for x
    x = 178,967,938.56/17,289.28
  6. Step 6: Final answer
    x = 10,351.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.