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Finding the Fourth Proportional to 13,415.20, 20,099.97 and 8,728.06

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Solution

The fourth proportional to 13,415.20, 20,099.97 and 8,728.06 is: 13,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.20 : 20,099.97 = 8,728.06 : x
  2. Step 2: Convert to fraction form
    13,415.20/20,099.97 = 8,728.06/x
  3. Step 3: Cross multiply
    13,415.20x = 20,099.97 × 8,728.06
  4. Step 4: Simplify right side
    13,415.20x = 175,433,744.16
  5. Step 5: Solve for x
    x = 175,433,744.16/13,415.20
  6. Step 6: Final answer
    x = 13,077.24

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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.