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Finding the Fourth Proportional to 17,238, 25,850.62 and 6,141.75

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Solution

The fourth proportional to 17,238, 25,850.62 and 6,141.75 is: 9,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238 : 25,850.62 = 6,141.75 : x
  2. Step 2: Convert to fraction form
    17,238/25,850.62 = 6,141.75/x
  3. Step 3: Cross multiply
    17,238x = 25,850.62 × 6,141.75
  4. Step 4: Simplify right side
    17,238x = 158,768,045.39
  5. Step 5: Solve for x
    x = 158,768,045.39/17,238
  6. Step 6: Final answer
    x = 9,210.35

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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.