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Finding the Fourth Proportional to 16,340.74, 22,571.33 and 13,519.51

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Solution

The fourth proportional to 16,340.74, 22,571.33 and 13,519.51 is: 18,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.74 : 22,571.33 = 13,519.51 : x
  2. Step 2: Convert to fraction form
    16,340.74/22,571.33 = 13,519.51/x
  3. Step 3: Cross multiply
    16,340.74x = 22,571.33 × 13,519.51
  4. Step 4: Simplify right side
    16,340.74x = 305,153,197.62
  5. Step 5: Solve for x
    x = 305,153,197.62/16,340.74
  6. Step 6: Final answer
    x = 18,674.38

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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.