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Finding the Fourth Proportional to 12,939.84, 19,408.14 and 5,142.78

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Solution

The fourth proportional to 12,939.84, 19,408.14 and 5,142.78 is: 7,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939.84 : 19,408.14 = 5,142.78 : x
  2. Step 2: Convert to fraction form
    12,939.84/19,408.14 = 5,142.78/x
  3. Step 3: Cross multiply
    12,939.84x = 19,408.14 × 5,142.78
  4. Step 4: Simplify right side
    12,939.84x = 99,811,794.23
  5. Step 5: Solve for x
    x = 99,811,794.23/12,939.84
  6. Step 6: Final answer
    x = 7,713.53

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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.