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Finding the Fourth Proportional to 11,767.77, 17,655.98 and 11,072.25

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Solution

The fourth proportional to 11,767.77, 17,655.98 and 11,072.25 is: 16,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.77 : 17,655.98 = 11,072.25 : x
  2. Step 2: Convert to fraction form
    11,767.77/17,655.98 = 11,072.25/x
  3. Step 3: Cross multiply
    11,767.77x = 17,655.98 × 11,072.25
  4. Step 4: Simplify right side
    11,767.77x = 195,491,369.19
  5. Step 5: Solve for x
    x = 195,491,369.19/11,767.77
  6. Step 6: Final answer
    x = 16,612.44

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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.