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Finding the Fourth Proportional to 11,566.44, 17,338.73 and 10,505.75

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Solution

The fourth proportional to 11,566.44, 17,338.73 and 10,505.75 is: 15,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.44 : 17,338.73 = 10,505.75 : x
  2. Step 2: Convert to fraction form
    11,566.44/17,338.73 = 10,505.75/x
  3. Step 3: Cross multiply
    11,566.44x = 17,338.73 × 10,505.75
  4. Step 4: Simplify right side
    11,566.44x = 182,156,223.48
  5. Step 5: Solve for x
    x = 182,156,223.48/11,566.44
  6. Step 6: Final answer
    x = 15,748.69

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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.