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Finding the Fourth Proportional to 18,613.14, 25,689.33 and 12,640.74

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Solution

The fourth proportional to 18,613.14, 25,689.33 and 12,640.74 is: 17,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,613.14 : 25,689.33 = 12,640.74 : x
  2. Step 2: Convert to fraction form
    18,613.14/25,689.33 = 12,640.74/x
  3. Step 3: Cross multiply
    18,613.14x = 25,689.33 × 12,640.74
  4. Step 4: Simplify right side
    18,613.14x = 324,732,141.30
  5. Step 5: Solve for x
    x = 324,732,141.30/18,613.14
  6. Step 6: Final answer
    x = 17,446.39

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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.