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Finding the Fourth Proportional to 11,906.72, 17,772.68 and 10,505.44

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Solution

The fourth proportional to 11,906.72, 17,772.68 and 10,505.44 is: 15,681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.72 : 17,772.68 = 10,505.44 : x
  2. Step 2: Convert to fraction form
    11,906.72/17,772.68 = 10,505.44/x
  3. Step 3: Cross multiply
    11,906.72x = 17,772.68 × 10,505.44
  4. Step 4: Simplify right side
    11,906.72x = 186,709,823.38
  5. Step 5: Solve for x
    x = 186,709,823.38/11,906.72
  6. Step 6: Final answer
    x = 15,681.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.