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Finding the Fourth Proportional to 12,614.34, 18,924.26 and 3,849.02

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Solution

The fourth proportional to 12,614.34, 18,924.26 and 3,849.02 is: 5,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.34 : 18,924.26 = 3,849.02 : x
  2. Step 2: Convert to fraction form
    12,614.34/18,924.26 = 3,849.02/x
  3. Step 3: Cross multiply
    12,614.34x = 18,924.26 × 3,849.02
  4. Step 4: Simplify right side
    12,614.34x = 72,839,855.23
  5. Step 5: Solve for x
    x = 72,839,855.23/12,614.34
  6. Step 6: Final answer
    x = 5,774.37

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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.