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Finding the Fourth Proportional to 26,934.49, 40,419.16 and 12,142.51

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Solution

The fourth proportional to 26,934.49, 40,419.16 and 12,142.51 is: 18,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,934.49 : 40,419.16 = 12,142.51 : x
  2. Step 2: Convert to fraction form
    26,934.49/40,419.16 = 12,142.51/x
  3. Step 3: Cross multiply
    26,934.49x = 40,419.16 × 12,142.51
  4. Step 4: Simplify right side
    26,934.49x = 490,790,054.49
  5. Step 5: Solve for x
    x = 490,790,054.49/26,934.49
  6. Step 6: Final answer
    x = 18,221.62

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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.