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Finding the Fourth Proportional to 13,003.69, 17,947.52 and 7,414.69

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Solution

The fourth proportional to 13,003.69, 17,947.52 and 7,414.69 is: 10,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.69 : 17,947.52 = 7,414.69 : x
  2. Step 2: Convert to fraction form
    13,003.69/17,947.52 = 7,414.69/x
  3. Step 3: Cross multiply
    13,003.69x = 17,947.52 × 7,414.69
  4. Step 4: Simplify right side
    13,003.69x = 133,075,270.74
  5. Step 5: Solve for x
    x = 133,075,270.74/13,003.69
  6. Step 6: Final answer
    x = 10,233.66

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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.