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Finding the Fourth Proportional to 13,073.82, 18,043.68 and 7,410.84

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Solution

The fourth proportional to 13,073.82, 18,043.68 and 7,410.84 is: 10,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073.82 : 18,043.68 = 7,410.84 : x
  2. Step 2: Convert to fraction form
    13,073.82/18,043.68 = 7,410.84/x
  3. Step 3: Cross multiply
    13,073.82x = 18,043.68 × 7,410.84
  4. Step 4: Simplify right side
    13,073.82x = 133,718,825.49
  5. Step 5: Solve for x
    x = 133,718,825.49/13,073.82
  6. Step 6: Final answer
    x = 10,227.98

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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.