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Finding the Fourth Proportional to 23,073.67, 31,841.81 and 13,519.21

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Solution

The fourth proportional to 23,073.67, 31,841.81 and 13,519.21 is: 18,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,073.67 : 31,841.81 = 13,519.21 : x
  2. Step 2: Convert to fraction form
    23,073.67/31,841.81 = 13,519.21/x
  3. Step 3: Cross multiply
    23,073.67x = 31,841.81 × 13,519.21
  4. Step 4: Simplify right side
    23,073.67x = 430,476,116.17
  5. Step 5: Solve for x
    x = 430,476,116.17/23,073.67
  6. Step 6: Final answer
    x = 18,656.59

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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.