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Finding the Fourth Proportional to 22,684.38, 31,305.48 and 12,613.84

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Solution

The fourth proportional to 22,684.38, 31,305.48 and 12,613.84 is: 17,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.38 : 31,305.48 = 12,613.84 : x
  2. Step 2: Convert to fraction form
    22,684.38/31,305.48 = 12,613.84/x
  3. Step 3: Cross multiply
    22,684.38x = 31,305.48 × 12,613.84
  4. Step 4: Simplify right side
    22,684.38x = 394,882,315.84
  5. Step 5: Solve for x
    x = 394,882,315.84/22,684.38
  6. Step 6: Final answer
    x = 17,407.68

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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.