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Finding the Fourth Proportional to 19,773.21, 27,286.54 and 10,820.77

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Solution

The fourth proportional to 19,773.21, 27,286.54 and 10,820.77 is: 14,932.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.21 : 27,286.54 = 10,820.77 : x
  2. Step 2: Convert to fraction form
    19,773.21/27,286.54 = 10,820.77/x
  3. Step 3: Cross multiply
    19,773.21x = 27,286.54 × 10,820.77
  4. Step 4: Simplify right side
    19,773.21x = 295,261,373.44
  5. Step 5: Solve for x
    x = 295,261,373.44/19,773.21
  6. Step 6: Final answer
    x = 14,932.39

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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.