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Finding the Fourth Proportional to 13,452.16, 20,144 and 11,255.36

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Solution

The fourth proportional to 13,452.16, 20,144 and 11,255.36 is: 16,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452.16 : 20,144 = 11,255.36 : x
  2. Step 2: Convert to fraction form
    13,452.16/20,144 = 11,255.36/x
  3. Step 3: Cross multiply
    13,452.16x = 20,144 × 11,255.36
  4. Step 4: Simplify right side
    13,452.16x = 226,727,971.84
  5. Step 5: Solve for x
    x = 226,727,971.84/13,452.16
  6. Step 6: Final answer
    x = 16,854.39

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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.