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Finding the Fourth Proportional to 13,443.67, 20,162.09 and 9,531.68

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Solution

The fourth proportional to 13,443.67, 20,162.09 and 9,531.68 is: 14,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.67 : 20,162.09 = 9,531.68 : x
  2. Step 2: Convert to fraction form
    13,443.67/20,162.09 = 9,531.68/x
  3. Step 3: Cross multiply
    13,443.67x = 20,162.09 × 9,531.68
  4. Step 4: Simplify right side
    13,443.67x = 192,178,486.22
  5. Step 5: Solve for x
    x = 192,178,486.22/13,443.67
  6. Step 6: Final answer
    x = 14,295.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.