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Finding the Fourth Proportional to 27,198.50, 40,798.02 and 9,669.02

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Solution

The fourth proportional to 27,198.50, 40,798.02 and 9,669.02 is: 14,503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,198.50 : 40,798.02 = 9,669.02 : x
  2. Step 2: Convert to fraction form
    27,198.50/40,798.02 = 9,669.02/x
  3. Step 3: Cross multiply
    27,198.50x = 40,798.02 × 9,669.02
  4. Step 4: Simplify right side
    27,198.50x = 394,476,871.34
  5. Step 5: Solve for x
    x = 394,476,871.34/27,198.50
  6. Step 6: Final answer
    x = 14,503.63

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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.