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Finding the Fourth Proportional to 18,608.84, 25,676.68 and 11,537

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Solution

The fourth proportional to 18,608.84, 25,676.68 and 11,537 is: 15,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,608.84 : 25,676.68 = 11,537 : x
  2. Step 2: Convert to fraction form
    18,608.84/25,676.68 = 11,537/x
  3. Step 3: Cross multiply
    18,608.84x = 25,676.68 × 11,537
  4. Step 4: Simplify right side
    18,608.84x = 296,231,857.16
  5. Step 5: Solve for x
    x = 296,231,857.16/18,608.84
  6. Step 6: Final answer
    x = 15,918.88

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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.