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Finding the Fourth Proportional to 13,490.62, 20,236.10 and 5,171.06

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Solution

The fourth proportional to 13,490.62, 20,236.10 and 5,171.06 is: 7,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.62 : 20,236.10 = 5,171.06 : x
  2. Step 2: Convert to fraction form
    13,490.62/20,236.10 = 5,171.06/x
  3. Step 3: Cross multiply
    13,490.62x = 20,236.10 × 5,171.06
  4. Step 4: Simplify right side
    13,490.62x = 104,642,087.27
  5. Step 5: Solve for x
    x = 104,642,087.27/13,490.62
  6. Step 6: Final answer
    x = 7,756.66

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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.