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Finding the Fourth Proportional to 19,624.88, 27,084.78 and 11,241.38

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Solution

The fourth proportional to 19,624.88, 27,084.78 and 11,241.38 is: 15,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,624.88 : 27,084.78 = 11,241.38 : x
  2. Step 2: Convert to fraction form
    19,624.88/27,084.78 = 11,241.38/x
  3. Step 3: Cross multiply
    19,624.88x = 27,084.78 × 11,241.38
  4. Step 4: Simplify right side
    19,624.88x = 304,470,168.77
  5. Step 5: Solve for x
    x = 304,470,168.77/19,624.88
  6. Step 6: Final answer
    x = 15,514.50

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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.