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Finding the Fourth Proportional to 19,806.78, 27,334.38 and 11,307.12

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Solution

The fourth proportional to 19,806.78, 27,334.38 and 11,307.12 is: 15,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.78 : 27,334.38 = 11,307.12 : x
  2. Step 2: Convert to fraction form
    19,806.78/27,334.38 = 11,307.12/x
  3. Step 3: Cross multiply
    19,806.78x = 27,334.38 × 11,307.12
  4. Step 4: Simplify right side
    19,806.78x = 309,073,114.79
  5. Step 5: Solve for x
    x = 309,073,114.79/19,806.78
  6. Step 6: Final answer
    x = 15,604.41

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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.