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Finding the Fourth Proportional to 11,614.84, 17,421.99 and 2,849.71

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Solution

The fourth proportional to 11,614.84, 17,421.99 and 2,849.71 is: 4,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.84 : 17,421.99 = 2,849.71 : x
  2. Step 2: Convert to fraction form
    11,614.84/17,421.99 = 2,849.71/x
  3. Step 3: Cross multiply
    11,614.84x = 17,421.99 × 2,849.71
  4. Step 4: Simplify right side
    11,614.84x = 49,647,619.12
  5. Step 5: Solve for x
    x = 49,647,619.12/11,614.84
  6. Step 6: Final answer
    x = 4,274.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.