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Finding the Fourth Proportional to 19,902.84, 27,466.15 and 11,404.79

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Solution

The fourth proportional to 19,902.84, 27,466.15 and 11,404.79 is: 15,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.84 : 27,466.15 = 11,404.79 : x
  2. Step 2: Convert to fraction form
    19,902.84/27,466.15 = 11,404.79/x
  3. Step 3: Cross multiply
    19,902.84x = 27,466.15 × 11,404.79
  4. Step 4: Simplify right side
    19,902.84x = 313,245,672.86
  5. Step 5: Solve for x
    x = 313,245,672.86/19,902.84
  6. Step 6: Final answer
    x = 15,738.74

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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.