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Finding the Fourth Proportional to 13,411.68, 18,508.26 and 7,443.72

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Solution

The fourth proportional to 13,411.68, 18,508.26 and 7,443.72 is: 10,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.68 : 18,508.26 = 7,443.72 : x
  2. Step 2: Convert to fraction form
    13,411.68/18,508.26 = 7,443.72/x
  3. Step 3: Cross multiply
    13,411.68x = 18,508.26 × 7,443.72
  4. Step 4: Simplify right side
    13,411.68x = 137,770,305.13
  5. Step 5: Solve for x
    x = 137,770,305.13/13,411.68
  6. Step 6: Final answer
    x = 10,272.41

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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.