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Finding the Fourth Proportional to 17,829.71, 26,734.71 and 12,213.81

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Solution

The fourth proportional to 17,829.71, 26,734.71 and 12,213.81 is: 18,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.71 : 26,734.71 = 12,213.81 : x
  2. Step 2: Convert to fraction form
    17,829.71/26,734.71 = 12,213.81/x
  3. Step 3: Cross multiply
    17,829.71x = 26,734.71 × 12,213.81
  4. Step 4: Simplify right side
    17,829.71x = 326,532,668.35
  5. Step 5: Solve for x
    x = 326,532,668.35/17,829.71
  6. Step 6: Final answer
    x = 18,313.96

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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.