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Finding the Fourth Proportional to 23,187.76, 31,964.22 and 18,143.22

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Solution

The fourth proportional to 23,187.76, 31,964.22 and 18,143.22 is: 25,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187.76 : 31,964.22 = 18,143.22 : x
  2. Step 2: Convert to fraction form
    23,187.76/31,964.22 = 18,143.22/x
  3. Step 3: Cross multiply
    23,187.76x = 31,964.22 × 18,143.22
  4. Step 4: Simplify right side
    23,187.76x = 579,933,625.05
  5. Step 5: Solve for x
    x = 579,933,625.05/23,187.76
  6. Step 6: Final answer
    x = 25,010.33

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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.