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Finding the Fourth Proportional to 17,244, 25,867.44 and 4,932

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Solution

The fourth proportional to 17,244, 25,867.44 and 4,932 is: 7,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,244 : 25,867.44 = 4,932 : x
  2. Step 2: Convert to fraction form
    17,244/25,867.44 = 4,932/x
  3. Step 3: Cross multiply
    17,244x = 25,867.44 × 4,932
  4. Step 4: Simplify right side
    17,244x = 127,578,214.08
  5. Step 5: Solve for x
    x = 127,578,214.08/17,244
  6. Step 6: Final answer
    x = 7,398.41

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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.