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Finding the Fourth Proportional to 20,804.64, 31,129.20 and 12,043.68

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Solution

The fourth proportional to 20,804.64, 31,129.20 and 12,043.68 is: 18,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.64 : 31,129.20 = 12,043.68 : x
  2. Step 2: Convert to fraction form
    20,804.64/31,129.20 = 12,043.68/x
  3. Step 3: Cross multiply
    20,804.64x = 31,129.20 × 12,043.68
  4. Step 4: Simplify right side
    20,804.64x = 374,910,123.46
  5. Step 5: Solve for x
    x = 374,910,123.46/20,804.64
  6. Step 6: Final answer
    x = 18,020.51

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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.