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Finding the Fourth Proportional to 13,141.44, 18,137.52 and 8,106.48

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Solution

The fourth proportional to 13,141.44, 18,137.52 and 8,106.48 is: 11,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.44 : 18,137.52 = 8,106.48 : x
  2. Step 2: Convert to fraction form
    13,141.44/18,137.52 = 8,106.48/x
  3. Step 3: Cross multiply
    13,141.44x = 18,137.52 × 8,106.48
  4. Step 4: Simplify right side
    13,141.44x = 147,031,443.13
  5. Step 5: Solve for x
    x = 147,031,443.13/13,141.44
  6. Step 6: Final answer
    x = 11,188.38

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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.