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Finding the Fourth Proportional to 12,707.42, 19,061.52 and 3,942.38

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Solution

The fourth proportional to 12,707.42, 19,061.52 and 3,942.38 is: 5,913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.42 : 19,061.52 = 3,942.38 : x
  2. Step 2: Convert to fraction form
    12,707.42/19,061.52 = 3,942.38/x
  3. Step 3: Cross multiply
    12,707.42x = 19,061.52 × 3,942.38
  4. Step 4: Simplify right side
    12,707.42x = 75,147,755.22
  5. Step 5: Solve for x
    x = 75,147,755.22/12,707.42
  6. Step 6: Final answer
    x = 5,913.69

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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.