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Finding the Fourth Proportional to 23,209.41, 34,814.31 and 8,418

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Solution

The fourth proportional to 23,209.41, 34,814.31 and 8,418 is: 12,627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209.41 : 34,814.31 = 8,418 : x
  2. Step 2: Convert to fraction form
    23,209.41/34,814.31 = 8,418/x
  3. Step 3: Cross multiply
    23,209.41x = 34,814.31 × 8,418
  4. Step 4: Simplify right side
    23,209.41x = 293,066,861.58
  5. Step 5: Solve for x
    x = 293,066,861.58/23,209.41
  6. Step 6: Final answer
    x = 12,627.07

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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.