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Finding the Fourth Proportional to 27,673, 41,526.78 and 11,257

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Solution

The fourth proportional to 27,673, 41,526.78 and 11,257 is: 16,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,673 : 41,526.78 = 11,257 : x
  2. Step 2: Convert to fraction form
    27,673/41,526.78 = 11,257/x
  3. Step 3: Cross multiply
    27,673x = 41,526.78 × 11,257
  4. Step 4: Simplify right side
    27,673x = 467,466,962.46
  5. Step 5: Solve for x
    x = 467,466,962.46/27,673
  6. Step 6: Final answer
    x = 16,892.53

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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.