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Finding the Fourth Proportional to 20,818.36, 31,194.76 and 7,652.64

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Solution

The fourth proportional to 20,818.36, 31,194.76 and 7,652.64 is: 11,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,818.36 : 31,194.76 = 7,652.64 : x
  2. Step 2: Convert to fraction form
    20,818.36/31,194.76 = 7,652.64/x
  3. Step 3: Cross multiply
    20,818.36x = 31,194.76 × 7,652.64
  4. Step 4: Simplify right side
    20,818.36x = 238,722,268.17
  5. Step 5: Solve for x
    x = 238,722,268.17/20,818.36
  6. Step 6: Final answer
    x = 11,466.91

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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.