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Finding the Fourth Proportional to 19,711.38, 27,202.29 and 11,211.93

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Solution

The fourth proportional to 19,711.38, 27,202.29 and 11,211.93 is: 15,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.38 : 27,202.29 = 11,211.93 : x
  2. Step 2: Convert to fraction form
    19,711.38/27,202.29 = 11,211.93/x
  3. Step 3: Cross multiply
    19,711.38x = 27,202.29 × 11,211.93
  4. Step 4: Simplify right side
    19,711.38x = 304,990,074.22
  5. Step 5: Solve for x
    x = 304,990,074.22/19,711.38
  6. Step 6: Final answer
    x = 15,472.79

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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.