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Finding the Fourth Proportional to 18,735.44, 25,719.56 and 16,078.24

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Solution

The fourth proportional to 18,735.44, 25,719.56 and 16,078.24 is: 22,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,735.44 : 25,719.56 = 16,078.24 : x
  2. Step 2: Convert to fraction form
    18,735.44/25,719.56 = 16,078.24/x
  3. Step 3: Cross multiply
    18,735.44x = 25,719.56 × 16,078.24
  4. Step 4: Simplify right side
    18,735.44x = 413,525,258.37
  5. Step 5: Solve for x
    x = 413,525,258.37/18,735.44
  6. Step 6: Final answer
    x = 22,071.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.