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Finding the Fourth Proportional to 12,011.60, 18,020.64 and 3,691.46

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Solution

The fourth proportional to 12,011.60, 18,020.64 and 3,691.46 is: 5,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.60 : 18,020.64 = 3,691.46 : x
  2. Step 2: Convert to fraction form
    12,011.60/18,020.64 = 3,691.46/x
  3. Step 3: Cross multiply
    12,011.60x = 18,020.64 × 3,691.46
  4. Step 4: Simplify right side
    12,011.60x = 66,522,471.73
  5. Step 5: Solve for x
    x = 66,522,471.73/12,011.60
  6. Step 6: Final answer
    x = 5,538.19

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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.