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Finding the Fourth Proportional to 12,849.84, 17,735.36 and 7,546.37

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Solution

The fourth proportional to 12,849.84, 17,735.36 and 7,546.37 is: 10,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849.84 : 17,735.36 = 7,546.37 : x
  2. Step 2: Convert to fraction form
    12,849.84/17,735.36 = 7,546.37/x
  3. Step 3: Cross multiply
    12,849.84x = 17,735.36 × 7,546.37
  4. Step 4: Simplify right side
    12,849.84x = 133,837,462.23
  5. Step 5: Solve for x
    x = 133,837,462.23/12,849.84
  6. Step 6: Final answer
    x = 10,415.50

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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.