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Finding the Fourth Proportional to 16,722.46, 25,091.96 and 7,838.43

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Solution

The fourth proportional to 16,722.46, 25,091.96 and 7,838.43 is: 11,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,722.46 : 25,091.96 = 7,838.43 : x
  2. Step 2: Convert to fraction form
    16,722.46/25,091.96 = 7,838.43/x
  3. Step 3: Cross multiply
    16,722.46x = 25,091.96 × 7,838.43
  4. Step 4: Simplify right side
    16,722.46x = 196,681,572.02
  5. Step 5: Solve for x
    x = 196,681,572.02/16,722.46
  6. Step 6: Final answer
    x = 11,761.52

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