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Finding the Fourth Proportional to 20,971.34, 31,467.94 and 8,500.58

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Solution

The fourth proportional to 20,971.34, 31,467.94 and 8,500.58 is: 12,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,971.34 : 31,467.94 = 8,500.58 : x
  2. Step 2: Convert to fraction form
    20,971.34/31,467.94 = 8,500.58/x
  3. Step 3: Cross multiply
    20,971.34x = 31,467.94 × 8,500.58
  4. Step 4: Simplify right side
    20,971.34x = 267,495,562.81
  5. Step 5: Solve for x
    x = 267,495,562.81/20,971.34
  6. Step 6: Final answer
    x = 12,755.29

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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.