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Finding the Fourth Proportional to 19,791, 27,312.12 and 11,408.04

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Solution

The fourth proportional to 19,791, 27,312.12 and 11,408.04 is: 15,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,791 : 27,312.12 = 11,408.04 : x
  2. Step 2: Convert to fraction form
    19,791/27,312.12 = 11,408.04/x
  3. Step 3: Cross multiply
    19,791x = 27,312.12 × 11,408.04
  4. Step 4: Simplify right side
    19,791x = 311,577,757.44
  5. Step 5: Solve for x
    x = 311,577,757.44/19,791
  6. Step 6: Final answer
    x = 15,743.41

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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.