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Finding the Fourth Proportional to 13,411.63, 18,508.94 and 7,443.82

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Solution

The fourth proportional to 13,411.63, 18,508.94 and 7,443.82 is: 10,272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.63 : 18,508.94 = 7,443.82 : x
  2. Step 2: Convert to fraction form
    13,411.63/18,508.94 = 7,443.82/x
  3. Step 3: Cross multiply
    13,411.63x = 18,508.94 × 7,443.82
  4. Step 4: Simplify right side
    13,411.63x = 137,777,217.75
  5. Step 5: Solve for x
    x = 137,777,217.75/13,411.63
  6. Step 6: Final answer
    x = 10,272.97

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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.