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Finding the Fourth Proportional to 17,320.52, 25,983.51 and 5,631

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Solution

The fourth proportional to 17,320.52, 25,983.51 and 5,631 is: 8,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,320.52 : 25,983.51 = 5,631 : x
  2. Step 2: Convert to fraction form
    17,320.52/25,983.51 = 5,631/x
  3. Step 3: Cross multiply
    17,320.52x = 25,983.51 × 5,631
  4. Step 4: Simplify right side
    17,320.52x = 146,313,144.81
  5. Step 5: Solve for x
    x = 146,313,144.81/17,320.52
  6. Step 6: Final answer
    x = 8,447.39

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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.