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Finding the Fourth Proportional to 17,252.28, 25,872.03 and 6,156

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Solution

The fourth proportional to 17,252.28, 25,872.03 and 6,156 is: 9,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,252.28 : 25,872.03 = 6,156 : x
  2. Step 2: Convert to fraction form
    17,252.28/25,872.03 = 6,156/x
  3. Step 3: Cross multiply
    17,252.28x = 25,872.03 × 6,156
  4. Step 4: Simplify right side
    17,252.28x = 159,268,216.68
  5. Step 5: Solve for x
    x = 159,268,216.68/17,252.28
  6. Step 6: Final answer
    x = 9,231.72

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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.