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Finding the Fourth Proportional to 21,078.38, 31,630.22 and 8,425.87

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Solution

The fourth proportional to 21,078.38, 31,630.22 and 8,425.87 is: 12,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078.38 : 31,630.22 = 8,425.87 : x
  2. Step 2: Convert to fraction form
    21,078.38/31,630.22 = 8,425.87/x
  3. Step 3: Cross multiply
    21,078.38x = 31,630.22 × 8,425.87
  4. Step 4: Simplify right side
    21,078.38x = 266,512,100.73
  5. Step 5: Solve for x
    x = 266,512,100.73/21,078.38
  6. Step 6: Final answer
    x = 12,643.86

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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.