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Finding the Fourth Proportional to 13,099.11, 18,076.46 and 7,509.75

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Solution

The fourth proportional to 13,099.11, 18,076.46 and 7,509.75 is: 10,363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.11 : 18,076.46 = 7,509.75 : x
  2. Step 2: Convert to fraction form
    13,099.11/18,076.46 = 7,509.75/x
  3. Step 3: Cross multiply
    13,099.11x = 18,076.46 × 7,509.75
  4. Step 4: Simplify right side
    13,099.11x = 135,749,657.94
  5. Step 5: Solve for x
    x = 135,749,657.94/13,099.11
  6. Step 6: Final answer
    x = 10,363.27

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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.