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Finding the Fourth Proportional to 12,771, 17,623.98 and 7,182

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Solution

The fourth proportional to 12,771, 17,623.98 and 7,182 is: 9,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771 : 17,623.98 = 7,182 : x
  2. Step 2: Convert to fraction form
    12,771/17,623.98 = 7,182/x
  3. Step 3: Cross multiply
    12,771x = 17,623.98 × 7,182
  4. Step 4: Simplify right side
    12,771x = 126,575,424.36
  5. Step 5: Solve for x
    x = 126,575,424.36/12,771
  6. Step 6: Final answer
    x = 9,911.16

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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.