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Finding the Fourth Proportional to 13,460.28, 20,187.28 and 5,137.24

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Solution

The fourth proportional to 13,460.28, 20,187.28 and 5,137.24 is: 7,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.28 : 20,187.28 = 5,137.24 : x
  2. Step 2: Convert to fraction form
    13,460.28/20,187.28 = 5,137.24/x
  3. Step 3: Cross multiply
    13,460.28x = 20,187.28 × 5,137.24
  4. Step 4: Simplify right side
    13,460.28x = 103,706,902.31
  5. Step 5: Solve for x
    x = 103,706,902.31/13,460.28
  6. Step 6: Final answer
    x = 7,704.66

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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.