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Finding the Fourth Proportional to 20,914.22, 31,372.76 and 8,434.35

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Solution

The fourth proportional to 20,914.22, 31,372.76 and 8,434.35 is: 12,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,914.22 : 31,372.76 = 8,434.35 : x
  2. Step 2: Convert to fraction form
    20,914.22/31,372.76 = 8,434.35/x
  3. Step 3: Cross multiply
    20,914.22x = 31,372.76 × 8,434.35
  4. Step 4: Simplify right side
    20,914.22x = 264,608,796.13
  5. Step 5: Solve for x
    x = 264,608,796.13/20,914.22
  6. Step 6: Final answer
    x = 12,652.10

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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.