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Finding the Fourth Proportional to 13,751.41, 18,971.80 and 8,086.45

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Solution

The fourth proportional to 13,751.41, 18,971.80 and 8,086.45 is: 11,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.41 : 18,971.80 = 8,086.45 : x
  2. Step 2: Convert to fraction form
    13,751.41/18,971.80 = 8,086.45/x
  3. Step 3: Cross multiply
    13,751.41x = 18,971.80 × 8,086.45
  4. Step 4: Simplify right side
    13,751.41x = 153,414,512.11
  5. Step 5: Solve for x
    x = 153,414,512.11/13,751.41
  6. Step 6: Final answer
    x = 11,156.28

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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.