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Finding the Fourth Proportional to 17,244, 23,807.88 and 13,460.64

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Solution

The fourth proportional to 17,244, 23,807.88 and 13,460.64 is: 18,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,244 : 23,807.88 = 13,460.64 : x
  2. Step 2: Convert to fraction form
    17,244/23,807.88 = 13,460.64/x
  3. Step 3: Cross multiply
    17,244x = 23,807.88 × 13,460.64
  4. Step 4: Simplify right side
    17,244x = 320,469,301.84
  5. Step 5: Solve for x
    x = 320,469,301.84/17,244
  6. Step 6: Final answer
    x = 18,584.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.