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Finding the Fourth Proportional to 19,773.15, 27,286.38 and 10,820.49

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Solution

The fourth proportional to 19,773.15, 27,286.38 and 10,820.49 is: 14,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.15 : 27,286.38 = 10,820.49 : x
  2. Step 2: Convert to fraction form
    19,773.15/27,286.38 = 10,820.49/x
  3. Step 3: Cross multiply
    19,773.15x = 27,286.38 × 10,820.49
  4. Step 4: Simplify right side
    19,773.15x = 295,252,001.93
  5. Step 5: Solve for x
    x = 295,252,001.93/19,773.15
  6. Step 6: Final answer
    x = 14,931.97

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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.