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Finding the Fourth Proportional to 13,412.41, 18,508.77 and 7,443.92

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Solution

The fourth proportional to 13,412.41, 18,508.77 and 7,443.92 is: 10,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.41 : 18,508.77 = 7,443.92 : x
  2. Step 2: Convert to fraction form
    13,412.41/18,508.77 = 7,443.92/x
  3. Step 3: Cross multiply
    13,412.41x = 18,508.77 × 7,443.92
  4. Step 4: Simplify right side
    13,412.41x = 137,777,849.45
  5. Step 5: Solve for x
    x = 137,777,849.45/13,412.41
  6. Step 6: Final answer
    x = 10,272.42

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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.