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Finding the Fourth Proportional to 19,743, 29,629.06 and 9,354.76

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Solution

The fourth proportional to 19,743, 29,629.06 and 9,354.76 is: 14,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,743 : 29,629.06 = 9,354.76 : x
  2. Step 2: Convert to fraction form
    19,743/29,629.06 = 9,354.76/x
  3. Step 3: Cross multiply
    19,743x = 29,629.06 × 9,354.76
  4. Step 4: Simplify right side
    19,743x = 277,172,745.33
  5. Step 5: Solve for x
    x = 277,172,745.33/19,743
  6. Step 6: Final answer
    x = 14,039.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.