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Finding the Fourth Proportional to 13,138.97, 18,128.39 and 7,830.03

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Solution

The fourth proportional to 13,138.97, 18,128.39 and 7,830.03 is: 10,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.97 : 18,128.39 = 7,830.03 : x
  2. Step 2: Convert to fraction form
    13,138.97/18,128.39 = 7,830.03/x
  3. Step 3: Cross multiply
    13,138.97x = 18,128.39 × 7,830.03
  4. Step 4: Simplify right side
    13,138.97x = 141,945,837.55
  5. Step 5: Solve for x
    x = 141,945,837.55/13,138.97
  6. Step 6: Final answer
    x = 10,803.42

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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.