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Finding the Fourth Proportional to 13,003.98, 17,945.42 and 7,338.80

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Solution

The fourth proportional to 13,003.98, 17,945.42 and 7,338.80 is: 10,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.98 : 17,945.42 = 7,338.80 : x
  2. Step 2: Convert to fraction form
    13,003.98/17,945.42 = 7,338.80/x
  3. Step 3: Cross multiply
    13,003.98x = 17,945.42 × 7,338.80
  4. Step 4: Simplify right side
    13,003.98x = 131,697,721.87
  5. Step 5: Solve for x
    x = 131,697,721.87/13,003.98
  6. Step 6: Final answer
    x = 10,127.49

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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.