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Finding the Fourth Proportional to 27,221.67, 40,834.02 and 8,504.30

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Solution

The fourth proportional to 27,221.67, 40,834.02 and 8,504.30 is: 12,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,221.67 : 40,834.02 = 8,504.30 : x
  2. Step 2: Convert to fraction form
    27,221.67/40,834.02 = 8,504.30/x
  3. Step 3: Cross multiply
    27,221.67x = 40,834.02 × 8,504.30
  4. Step 4: Simplify right side
    27,221.67x = 347,264,756.29
  5. Step 5: Solve for x
    x = 347,264,756.29/27,221.67
  6. Step 6: Final answer
    x = 12,756.92

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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.