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Finding the Fourth Proportional to 26,771.25, 40,127.88 and 11,959.77

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Solution

The fourth proportional to 26,771.25, 40,127.88 and 11,959.77 is: 17,926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,771.25 : 40,127.88 = 11,959.77 : x
  2. Step 2: Convert to fraction form
    26,771.25/40,127.88 = 11,959.77/x
  3. Step 3: Cross multiply
    26,771.25x = 40,127.88 × 11,959.77
  4. Step 4: Simplify right side
    26,771.25x = 479,920,215.39
  5. Step 5: Solve for x
    x = 479,920,215.39/26,771.25
  6. Step 6: Final answer
    x = 17,926.70

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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.