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Finding the Fourth Proportional to 16,767, 25,150.50 and 6,378.75

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Solution

The fourth proportional to 16,767, 25,150.50 and 6,378.75 is: 9,568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767 : 25,150.50 = 6,378.75 : x
  2. Step 2: Convert to fraction form
    16,767/25,150.50 = 6,378.75/x
  3. Step 3: Cross multiply
    16,767x = 25,150.50 × 6,378.75
  4. Step 4: Simplify right side
    16,767x = 160,428,751.88
  5. Step 5: Solve for x
    x = 160,428,751.88/16,767
  6. Step 6: Final answer
    x = 9,568.13

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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.