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Finding the Fourth Proportional to 11,652.87, 17,464.71 and 9,177.91

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Solution

The fourth proportional to 11,652.87, 17,464.71 and 9,177.91 is: 13,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.87 : 17,464.71 = 9,177.91 : x
  2. Step 2: Convert to fraction form
    11,652.87/17,464.71 = 9,177.91/x
  3. Step 3: Cross multiply
    11,652.87x = 17,464.71 × 9,177.91
  4. Step 4: Simplify right side
    11,652.87x = 160,289,536.56
  5. Step 5: Solve for x
    x = 160,289,536.56/11,652.87
  6. Step 6: Final answer
    x = 13,755.37

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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.