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Finding the Fourth Proportional to 17,733.22, 24,471.57 and 9,775.27

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Solution

The fourth proportional to 17,733.22, 24,471.57 and 9,775.27 is: 13,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.22 : 24,471.57 = 9,775.27 : x
  2. Step 2: Convert to fraction form
    17,733.22/24,471.57 = 9,775.27/x
  3. Step 3: Cross multiply
    17,733.22x = 24,471.57 × 9,775.27
  4. Step 4: Simplify right side
    17,733.22x = 239,216,228.51
  5. Step 5: Solve for x
    x = 239,216,228.51/17,733.22
  6. Step 6: Final answer
    x = 13,489.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.