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Finding the Fourth Proportional to 17,477.94, 24,115.44 and 9,922.56

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Solution

The fourth proportional to 17,477.94, 24,115.44 and 9,922.56 is: 13,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,477.94 : 24,115.44 = 9,922.56 : x
  2. Step 2: Convert to fraction form
    17,477.94/24,115.44 = 9,922.56/x
  3. Step 3: Cross multiply
    17,477.94x = 24,115.44 × 9,922.56
  4. Step 4: Simplify right side
    17,477.94x = 239,286,900.33
  5. Step 5: Solve for x
    x = 239,286,900.33/17,477.94
  6. Step 6: Final answer
    x = 13,690.80

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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.