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Finding the Fourth Proportional to 14,638.75, 20,201.46 and 7,924.43

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Solution

The fourth proportional to 14,638.75, 20,201.46 and 7,924.43 is: 10,935.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.75 : 20,201.46 = 7,924.43 : x
  2. Step 2: Convert to fraction form
    14,638.75/20,201.46 = 7,924.43/x
  3. Step 3: Cross multiply
    14,638.75x = 20,201.46 × 7,924.43
  4. Step 4: Simplify right side
    14,638.75x = 160,085,106.17
  5. Step 5: Solve for x
    x = 160,085,106.17/14,638.75
  6. Step 6: Final answer
    x = 10,935.71

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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.