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Finding the Fourth Proportional to 19,674.38, 27,160.70 and 13,334.49

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Solution

The fourth proportional to 19,674.38, 27,160.70 and 13,334.49 is: 18,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674.38 : 27,160.70 = 13,334.49 : x
  2. Step 2: Convert to fraction form
    19,674.38/27,160.70 = 13,334.49/x
  3. Step 3: Cross multiply
    19,674.38x = 27,160.70 × 13,334.49
  4. Step 4: Simplify right side
    19,674.38x = 362,174,015.87
  5. Step 5: Solve for x
    x = 362,174,015.87/19,674.38
  6. Step 6: Final answer
    x = 18,408.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.