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Finding the Fourth Proportional to 13,490.49, 20,232.30 and 5,171.01

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Solution

The fourth proportional to 13,490.49, 20,232.30 and 5,171.01 is: 7,755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.49 : 20,232.30 = 5,171.01 : x
  2. Step 2: Convert to fraction form
    13,490.49/20,232.30 = 5,171.01/x
  3. Step 3: Cross multiply
    13,490.49x = 20,232.30 × 5,171.01
  4. Step 4: Simplify right side
    13,490.49x = 104,621,425.62
  5. Step 5: Solve for x
    x = 104,621,425.62/13,490.49
  6. Step 6: Final answer
    x = 7,755.20

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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.