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Finding the Fourth Proportional to 14,638.73, 20,201.41 and 7,924.35

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Solution

The fourth proportional to 14,638.73, 20,201.41 and 7,924.35 is: 10,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.73 : 20,201.41 = 7,924.35 : x
  2. Step 2: Convert to fraction form
    14,638.73/20,201.41 = 7,924.35/x
  3. Step 3: Cross multiply
    14,638.73x = 20,201.41 × 7,924.35
  4. Step 4: Simplify right side
    14,638.73x = 160,083,043.33
  5. Step 5: Solve for x
    x = 160,083,043.33/14,638.73
  6. Step 6: Final answer
    x = 10,935.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.