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Finding the Fourth Proportional to 17,252, 25,878 and 4,940.96

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Solution

The fourth proportional to 17,252, 25,878 and 4,940.96 is: 7,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,252 : 25,878 = 4,940.96 : x
  2. Step 2: Convert to fraction form
    17,252/25,878 = 4,940.96/x
  3. Step 3: Cross multiply
    17,252x = 25,878 × 4,940.96
  4. Step 4: Simplify right side
    17,252x = 127,862,162.88
  5. Step 5: Solve for x
    x = 127,862,162.88/17,252
  6. Step 6: Final answer
    x = 7,411.44

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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.