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Finding the Fourth Proportional to 16,076.71, 22,195.71 and 12,733.03

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Solution

The fourth proportional to 16,076.71, 22,195.71 and 12,733.03 is: 17,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.71 : 22,195.71 = 12,733.03 : x
  2. Step 2: Convert to fraction form
    16,076.71/22,195.71 = 12,733.03/x
  3. Step 3: Cross multiply
    16,076.71x = 22,195.71 × 12,733.03
  4. Step 4: Simplify right side
    16,076.71x = 282,618,466.66
  5. Step 5: Solve for x
    x = 282,618,466.66/16,076.71
  6. Step 6: Final answer
    x = 17,579.38

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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.