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Finding the Fourth Proportional to 17,137.68, 25,708.16 and 6,747

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Solution

The fourth proportional to 17,137.68, 25,708.16 and 6,747 is: 10,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,137.68 : 25,708.16 = 6,747 : x
  2. Step 2: Convert to fraction form
    17,137.68/25,708.16 = 6,747/x
  3. Step 3: Cross multiply
    17,137.68x = 25,708.16 × 6,747
  4. Step 4: Simplify right side
    17,137.68x = 173,452,955.52
  5. Step 5: Solve for x
    x = 173,452,955.52/17,137.68
  6. Step 6: Final answer
    x = 10,121.15

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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.