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Finding the Fourth Proportional to 29,701.80, 40,992.54 and 18,214.68

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Solution

The fourth proportional to 29,701.80, 40,992.54 and 18,214.68 is: 25,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,701.80 : 40,992.54 = 18,214.68 : x
  2. Step 2: Convert to fraction form
    29,701.80/40,992.54 = 18,214.68/x
  3. Step 3: Cross multiply
    29,701.80x = 40,992.54 × 18,214.68
  4. Step 4: Simplify right side
    29,701.80x = 746,665,998.49
  5. Step 5: Solve for x
    x = 746,665,998.49/29,701.80
  6. Step 6: Final answer
    x = 25,138.75

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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.