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Finding the Fourth Proportional to 17,001.60, 25,469.92 and 9,964.32

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Solution

The fourth proportional to 17,001.60, 25,469.92 and 9,964.32 is: 14,927.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,001.60 : 25,469.92 = 9,964.32 : x
  2. Step 2: Convert to fraction form
    17,001.60/25,469.92 = 9,964.32/x
  3. Step 3: Cross multiply
    17,001.60x = 25,469.92 × 9,964.32
  4. Step 4: Simplify right side
    17,001.60x = 253,790,433.25
  5. Step 5: Solve for x
    x = 253,790,433.25/17,001.60
  6. Step 6: Final answer
    x = 14,927.44

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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.