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Finding the Fourth Proportional to 20,262.78, 27,962.40 and 11,312.49

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Solution

The fourth proportional to 20,262.78, 27,962.40 and 11,312.49 is: 15,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262.78 : 27,962.40 = 11,312.49 : x
  2. Step 2: Convert to fraction form
    20,262.78/27,962.40 = 11,312.49/x
  3. Step 3: Cross multiply
    20,262.78x = 27,962.40 × 11,312.49
  4. Step 4: Simplify right side
    20,262.78x = 316,324,370.38
  5. Step 5: Solve for x
    x = 316,324,370.38/20,262.78
  6. Step 6: Final answer
    x = 15,611.10

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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.