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Finding the Fourth Proportional to 23,167.50, 34,751.22 and 8,185.71

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Solution

The fourth proportional to 23,167.50, 34,751.22 and 8,185.71 is: 12,278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,167.50 : 34,751.22 = 8,185.71 : x
  2. Step 2: Convert to fraction form
    23,167.50/34,751.22 = 8,185.71/x
  3. Step 3: Cross multiply
    23,167.50x = 34,751.22 × 8,185.71
  4. Step 4: Simplify right side
    23,167.50x = 284,463,409.07
  5. Step 5: Solve for x
    x = 284,463,409.07/23,167.50
  6. Step 6: Final answer
    x = 12,278.55

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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.