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Finding the Fourth Proportional to 20,405, 28,160.25 and 11,453.11

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Solution

The fourth proportional to 20,405, 28,160.25 and 11,453.11 is: 15,806.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,405 : 28,160.25 = 11,453.11 : x
  2. Step 2: Convert to fraction form
    20,405/28,160.25 = 11,453.11/x
  3. Step 3: Cross multiply
    20,405x = 28,160.25 × 11,453.11
  4. Step 4: Simplify right side
    20,405x = 322,522,383.61
  5. Step 5: Solve for x
    x = 322,522,383.61/20,405
  6. Step 6: Final answer
    x = 15,806.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.