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Finding the Fourth Proportional to 12,801, 17,665.44 and 7,212

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Solution

The fourth proportional to 12,801, 17,665.44 and 7,212 is: 9,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801 : 17,665.44 = 7,212 : x
  2. Step 2: Convert to fraction form
    12,801/17,665.44 = 7,212/x
  3. Step 3: Cross multiply
    12,801x = 17,665.44 × 7,212
  4. Step 4: Simplify right side
    12,801x = 127,403,153.28
  5. Step 5: Solve for x
    x = 127,403,153.28/12,801
  6. Step 6: Final answer
    x = 9,952.59

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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.