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Finding the Fourth Proportional to 21,076.38, 29,085.35 and 11,644.88

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Solution

The fourth proportional to 21,076.38, 29,085.35 and 11,644.88 is: 16,069.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076.38 : 29,085.35 = 11,644.88 : x
  2. Step 2: Convert to fraction form
    21,076.38/29,085.35 = 11,644.88/x
  3. Step 3: Cross multiply
    21,076.38x = 29,085.35 × 11,644.88
  4. Step 4: Simplify right side
    21,076.38x = 338,695,206.86
  5. Step 5: Solve for x
    x = 338,695,206.86/21,076.38
  6. Step 6: Final answer
    x = 16,069.89

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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.