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Finding the Fourth Proportional to 13,452.75, 20,179.10 and 4,681.50

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Solution

The fourth proportional to 13,452.75, 20,179.10 and 4,681.50 is: 7,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452.75 : 20,179.10 = 4,681.50 : x
  2. Step 2: Convert to fraction form
    13,452.75/20,179.10 = 4,681.50/x
  3. Step 3: Cross multiply
    13,452.75x = 20,179.10 × 4,681.50
  4. Step 4: Simplify right side
    13,452.75x = 94,468,433.24
  5. Step 5: Solve for x
    x = 94,468,433.24/13,452.75
  6. Step 6: Final answer
    x = 7,022.24

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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.