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Finding the Fourth Proportional to 12,238.98, 16,892.43 and 7,460.49

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Solution

The fourth proportional to 12,238.98, 16,892.43 and 7,460.49 is: 10,297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.98 : 16,892.43 = 7,460.49 : x
  2. Step 2: Convert to fraction form
    12,238.98/16,892.43 = 7,460.49/x
  3. Step 3: Cross multiply
    12,238.98x = 16,892.43 × 7,460.49
  4. Step 4: Simplify right side
    12,238.98x = 126,025,805.09
  5. Step 5: Solve for x
    x = 126,025,805.09/12,238.98
  6. Step 6: Final answer
    x = 10,297.08

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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.