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Finding the Fourth Proportional to 11,980.13, 17,849.79 and 11,309.45

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Solution

The fourth proportional to 11,980.13, 17,849.79 and 11,309.45 is: 16,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.13 : 17,849.79 = 11,309.45 : x
  2. Step 2: Convert to fraction form
    11,980.13/17,849.79 = 11,309.45/x
  3. Step 3: Cross multiply
    11,980.13x = 17,849.79 × 11,309.45
  4. Step 4: Simplify right side
    11,980.13x = 201,871,218.27
  5. Step 5: Solve for x
    x = 201,871,218.27/11,980.13
  6. Step 6: Final answer
    x = 16,850.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.