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Finding the Fourth Proportional to 17,906.75, 26,858.02 and 4,760.14

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Solution

The fourth proportional to 17,906.75, 26,858.02 and 4,760.14 is: 7,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.75 : 26,858.02 = 4,760.14 : x
  2. Step 2: Convert to fraction form
    17,906.75/26,858.02 = 4,760.14/x
  3. Step 3: Cross multiply
    17,906.75x = 26,858.02 × 4,760.14
  4. Step 4: Simplify right side
    17,906.75x = 127,847,935.32
  5. Step 5: Solve for x
    x = 127,847,935.32/17,906.75
  6. Step 6: Final answer
    x = 7,139.65

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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.