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Finding the Fourth Proportional to 20,031.98, 27,644.01 and 11,079.32

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Solution

The fourth proportional to 20,031.98, 27,644.01 and 11,079.32 is: 15,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.98 : 27,644.01 = 11,079.32 : x
  2. Step 2: Convert to fraction form
    20,031.98/27,644.01 = 11,079.32/x
  3. Step 3: Cross multiply
    20,031.98x = 27,644.01 × 11,079.32
  4. Step 4: Simplify right side
    20,031.98x = 306,276,832.87
  5. Step 5: Solve for x
    x = 306,276,832.87/20,031.98
  6. Step 6: Final answer
    x = 15,289.39

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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.