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Finding the Fourth Proportional to 20,857.92, 31,283.52 and 9,168.96

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Solution

The fourth proportional to 20,857.92, 31,283.52 and 9,168.96 is: 13,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.92 : 31,283.52 = 9,168.96 : x
  2. Step 2: Convert to fraction form
    20,857.92/31,283.52 = 9,168.96/x
  3. Step 3: Cross multiply
    20,857.92x = 31,283.52 × 9,168.96
  4. Step 4: Simplify right side
    20,857.92x = 286,837,343.54
  5. Step 5: Solve for x
    x = 286,837,343.54/20,857.92
  6. Step 6: Final answer
    x = 13,751.96

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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.