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Finding the Fourth Proportional to 13,486.96, 20,232.48 and 3,627.00

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Solution

The fourth proportional to 13,486.96, 20,232.48 and 3,627.00 is: 5,441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.96 : 20,232.48 = 3,627.00 : x
  2. Step 2: Convert to fraction form
    13,486.96/20,232.48 = 3,627.00/x
  3. Step 3: Cross multiply
    13,486.96x = 20,232.48 × 3,627.00
  4. Step 4: Simplify right side
    13,486.96x = 73,383,275.47
  5. Step 5: Solve for x
    x = 73,383,275.47/13,486.96
  6. Step 6: Final answer
    x = 5,441.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.