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Finding the Fourth Proportional to 17,614.38, 24,315.60 and 12,329.94

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Solution

The fourth proportional to 17,614.38, 24,315.60 and 12,329.94 is: 17,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.38 : 24,315.60 = 12,329.94 : x
  2. Step 2: Convert to fraction form
    17,614.38/24,315.60 = 12,329.94/x
  3. Step 3: Cross multiply
    17,614.38x = 24,315.60 × 12,329.94
  4. Step 4: Simplify right side
    17,614.38x = 299,809,889.06
  5. Step 5: Solve for x
    x = 299,809,889.06/17,614.38
  6. Step 6: Final answer
    x = 17,020.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.