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Finding the Fourth Proportional to 13,712.09, 18,922.74 and 7,424.46

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Solution

The fourth proportional to 13,712.09, 18,922.74 and 7,424.46 is: 10,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.09 : 18,922.74 = 7,424.46 : x
  2. Step 2: Convert to fraction form
    13,712.09/18,922.74 = 7,424.46/x
  3. Step 3: Cross multiply
    13,712.09x = 18,922.74 × 7,424.46
  4. Step 4: Simplify right side
    13,712.09x = 140,491,126.22
  5. Step 5: Solve for x
    x = 140,491,126.22/13,712.09
  6. Step 6: Final answer
    x = 10,245.79

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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.