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Finding the Fourth Proportional to 14,520.96, 20,039.04 and 7,896.96

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Solution

The fourth proportional to 14,520.96, 20,039.04 and 7,896.96 is: 10,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520.96 : 20,039.04 = 7,896.96 : x
  2. Step 2: Convert to fraction form
    14,520.96/20,039.04 = 7,896.96/x
  3. Step 3: Cross multiply
    14,520.96x = 20,039.04 × 7,896.96
  4. Step 4: Simplify right side
    14,520.96x = 158,247,497.32
  5. Step 5: Solve for x
    x = 158,247,497.32/14,520.96
  6. Step 6: Final answer
    x = 10,897.87

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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.