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Finding the Fourth Proportional to 13,453.47, 20,180.25 and 4,682.25

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Solution

The fourth proportional to 13,453.47, 20,180.25 and 4,682.25 is: 7,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.47 : 20,180.25 = 4,682.25 : x
  2. Step 2: Convert to fraction form
    13,453.47/20,180.25 = 4,682.25/x
  3. Step 3: Cross multiply
    13,453.47x = 20,180.25 × 4,682.25
  4. Step 4: Simplify right side
    13,453.47x = 94,488,975.56
  5. Step 5: Solve for x
    x = 94,488,975.56/13,453.47
  6. Step 6: Final answer
    x = 7,023.39

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