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Finding the Fourth Proportional to 27,186.96, 40,782.72 and 11,604.72

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Solution

The fourth proportional to 27,186.96, 40,782.72 and 11,604.72 is: 17,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186.96 : 40,782.72 = 11,604.72 : x
  2. Step 2: Convert to fraction form
    27,186.96/40,782.72 = 11,604.72/x
  3. Step 3: Cross multiply
    27,186.96x = 40,782.72 × 11,604.72
  4. Step 4: Simplify right side
    27,186.96x = 473,272,046.44
  5. Step 5: Solve for x
    x = 473,272,046.44/27,186.96
  6. Step 6: Final answer
    x = 17,408.05

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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.