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Finding the Fourth Proportional to 13,192, 18,204.96 and 7,304

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Solution

The fourth proportional to 13,192, 18,204.96 and 7,304 is: 10,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192 : 18,204.96 = 7,304 : x
  2. Step 2: Convert to fraction form
    13,192/18,204.96 = 7,304/x
  3. Step 3: Cross multiply
    13,192x = 18,204.96 × 7,304
  4. Step 4: Simplify right side
    13,192x = 132,969,027.84
  5. Step 5: Solve for x
    x = 132,969,027.84/13,192
  6. Step 6: Final answer
    x = 10,079.52

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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.