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Finding the Fourth Proportional to 27,227.36, 40,786.36 and 12,415.90

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Solution

The fourth proportional to 27,227.36, 40,786.36 and 12,415.90 is: 18,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,227.36 : 40,786.36 = 12,415.90 : x
  2. Step 2: Convert to fraction form
    27,227.36/40,786.36 = 12,415.90/x
  3. Step 3: Cross multiply
    27,227.36x = 40,786.36 × 12,415.90
  4. Step 4: Simplify right side
    27,227.36x = 506,399,367.12
  5. Step 5: Solve for x
    x = 506,399,367.12/27,227.36
  6. Step 6: Final answer
    x = 18,598.92

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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.