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Finding the Fourth Proportional to 27,197.68, 40,799.76 and 9,669.28

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Solution

The fourth proportional to 27,197.68, 40,799.76 and 9,669.28 is: 14,505.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.68 : 40,799.76 = 9,669.28 : x
  2. Step 2: Convert to fraction form
    27,197.68/40,799.76 = 9,669.28/x
  3. Step 3: Cross multiply
    27,197.68x = 40,799.76 × 9,669.28
  4. Step 4: Simplify right side
    27,197.68x = 394,504,303.37
  5. Step 5: Solve for x
    x = 394,504,303.37/27,197.68
  6. Step 6: Final answer
    x = 14,505.07

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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.