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Finding the Fourth Proportional to 12,942.57, 17,860.65 and 7,353.57

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Solution

The fourth proportional to 12,942.57, 17,860.65 and 7,353.57 is: 10,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.57 : 17,860.65 = 7,353.57 : x
  2. Step 2: Convert to fraction form
    12,942.57/17,860.65 = 7,353.57/x
  3. Step 3: Cross multiply
    12,942.57x = 17,860.65 × 7,353.57
  4. Step 4: Simplify right side
    12,942.57x = 131,339,540.02
  5. Step 5: Solve for x
    x = 131,339,540.02/12,942.57
  6. Step 6: Final answer
    x = 10,147.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.