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Finding the Fourth Proportional to 12,233, 16,882.98 and 7,265

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Solution

The fourth proportional to 12,233, 16,882.98 and 7,265 is: 10,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233 : 16,882.98 = 7,265 : x
  2. Step 2: Convert to fraction form
    12,233/16,882.98 = 7,265/x
  3. Step 3: Cross multiply
    12,233x = 16,882.98 × 7,265
  4. Step 4: Simplify right side
    12,233x = 122,654,849.70
  5. Step 5: Solve for x
    x = 122,654,849.70/12,233
  6. Step 6: Final answer
    x = 10,026.56

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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.