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Finding the Fourth Proportional to 20,972.34, 31,469.44 and 8,501.58

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Solution

The fourth proportional to 20,972.34, 31,469.44 and 8,501.58 is: 12,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972.34 : 31,469.44 = 8,501.58 : x
  2. Step 2: Convert to fraction form
    20,972.34/31,469.44 = 8,501.58/x
  3. Step 3: Cross multiply
    20,972.34x = 31,469.44 × 8,501.58
  4. Step 4: Simplify right side
    20,972.34x = 267,539,961.72
  5. Step 5: Solve for x
    x = 267,539,961.72/20,972.34
  6. Step 6: Final answer
    x = 12,756.80

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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.