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Finding the Fourth Proportional to 13,099.67, 18,084.51 and 10,519.37

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Solution

The fourth proportional to 13,099.67, 18,084.51 and 10,519.37 is: 14,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.67 : 18,084.51 = 10,519.37 : x
  2. Step 2: Convert to fraction form
    13,099.67/18,084.51 = 10,519.37/x
  3. Step 3: Cross multiply
    13,099.67x = 18,084.51 × 10,519.37
  4. Step 4: Simplify right side
    13,099.67x = 190,237,561.54
  5. Step 5: Solve for x
    x = 190,237,561.54/13,099.67
  6. Step 6: Final answer
    x = 14,522.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.