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Finding the Fourth Proportional to 23,072.92, 31,841.24 and 14,120.24

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Solution

The fourth proportional to 23,072.92, 31,841.24 and 14,120.24 is: 19,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,072.92 : 31,841.24 = 14,120.24 : x
  2. Step 2: Convert to fraction form
    23,072.92/31,841.24 = 14,120.24/x
  3. Step 3: Cross multiply
    23,072.92x = 31,841.24 × 14,120.24
  4. Step 4: Simplify right side
    23,072.92x = 449,605,950.70
  5. Step 5: Solve for x
    x = 449,605,950.70/23,072.92
  6. Step 6: Final answer
    x = 19,486.30

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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.