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Finding the Fourth Proportional to 20,976.16, 31,475.21 and 8,497.51

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Solution

The fourth proportional to 20,976.16, 31,475.21 and 8,497.51 is: 12,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,976.16 : 31,475.21 = 8,497.51 : x
  2. Step 2: Convert to fraction form
    20,976.16/31,475.21 = 8,497.51/x
  3. Step 3: Cross multiply
    20,976.16x = 31,475.21 × 8,497.51
  4. Step 4: Simplify right side
    20,976.16x = 267,460,911.73
  5. Step 5: Solve for x
    x = 267,460,911.73/20,976.16
  6. Step 6: Final answer
    x = 12,750.71

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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.