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Finding the Fourth Proportional to 11,614.44, 17,421.51 and 2,849.43

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Solution

The fourth proportional to 11,614.44, 17,421.51 and 2,849.43 is: 4,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.44 : 17,421.51 = 2,849.43 : x
  2. Step 2: Convert to fraction form
    11,614.44/17,421.51 = 2,849.43/x
  3. Step 3: Cross multiply
    11,614.44x = 17,421.51 × 2,849.43
  4. Step 4: Simplify right side
    11,614.44x = 49,641,373.24
  5. Step 5: Solve for x
    x = 49,641,373.24/11,614.44
  6. Step 6: Final answer
    x = 4,274.11

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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.