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Finding the Fourth Proportional to 15,942.60, 23,903.10 and 8,447.40

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Solution

The fourth proportional to 15,942.60, 23,903.10 and 8,447.40 is: 12,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,942.60 : 23,903.10 = 8,447.40 : x
  2. Step 2: Convert to fraction form
    15,942.60/23,903.10 = 8,447.40/x
  3. Step 3: Cross multiply
    15,942.60x = 23,903.10 × 8,447.40
  4. Step 4: Simplify right side
    15,942.60x = 201,919,046.94
  5. Step 5: Solve for x
    x = 201,919,046.94/15,942.60
  6. Step 6: Final answer
    x = 12,665.38

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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.